For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O.

Over recent decades recreational fisheries have grown substantially throughout the world. Despite this increase, catches from recreational fisheries have often been ignored in fisheries management, although this is now being remedied. Monitoring recreational fisheries can be expensive, and the primary means used for monitoring is angler (creel) surveys, typically funded from sales of fishing licences. The studies presented in this thesis examine different approaches to monitoring recreational trolling fisheries’ catch and effort, where fishing licenses are not required and there are no reporting requirements. I present results from a complemented roving/mail-in survey undertaken during 2013-2014 to estimate recreational effort and catch of Atlantic salmon (Salmo salar) and brown trout (S. trutta) in the largest lake in the European Union, Lake Vänern, Sweden. I also evaluate different angler catch reporting methods (mail-in, tournament reports and face-to-face interviews) and compare catch rates within and among spring and fall fishing periods. In addition, mail-in survey data are examined for recall bias.   I estimate that 28.7 tonnes of salmon and trout combined were harvested by the recreational trolling fishery in 2014, more than the commercial and subsistence fisheries combined. Seasonal differences in both recreational effort and catch were observed. Effort, in boat hours, was significantly higher in spring than in fall. Catch rates of trout were higher in fall than in spring, but there were no seasonal differences in catches of salmon. Harvest per boat day did not differ significantly among catch reporting methods, indicating that all three methods could be useful for managers interested in harvest rates. In contrast, total and released catch per boat day differed among reporting methods, with tournament anglers catching more fish in total. Finally, there was little evidence for recall bias in mail-in surveys, indicating that mail-in surveys are useful for collecting unbiased catch data. My study is the most comprehensive angler survey to date for Lake Vänern, and my results should be of immediate use to local fisheries managers and should also be of interest to researchers and managers interested in estimating catch and effort for fisheries at large spatial scales. / Over the past several decades recreational fisheries have grown substantially throughout the world. Until recently, however, recreational catch has been ignored in the management of many important fisheries. The studies presented in this thesis examine different approaches to monitoring recreational trolling fisheries’ catch and effort in Lake Vänern, Sweden, the largest lake in the European Union. Paper I presents results from a complemented roving/mail-in survey, designed to estimate recreational effort and catch of Atlantic salmon (Salmo salar) and brown trout (S. trutta). The results show that the recreational trolling fishery today harvests more salmon and trout annually than the commercial and subsistence fisheries combined, and that there are seasonal patterns in effort and catch. Paper II evaluates different angler catch reporting methods (mail-in, tournament reports, and face-to-face interviews), compares catch rates within and among spring and fall fishing periods and examines mail-in data for recall bias. Harvest per boat day did not differ significantly among catch reporting methods, indicating that all three could be useful for estimating harvest rates. However, tournament anglers had higher rates for released catch. Finally, there was little evidence for recall bias in mail-in surveys. In summary, this thesis has developed the framework for a recreational angler survey program for Lake Vänern, and should be of interest to researchers and managers interested in estimating catch and effort for fisheries at large spatial scales.

Submitted by Kamila Costa (kamilavasconceloscosta@gmail.com) on 2015-09-02T13:30:29Z No. of bitstreams: 1 Dissertação - Abraão C Mendes.pdf: 596466 bytes, checksum: 828e2e3d4596502c864741954a15b161 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2015-09-16T15:31:26Z (GMT) No. of bitstreams: 1 Dissertação - Abraão C Mendes.pdf: 596466 bytes, checksum: 828e2e3d4596502c864741954a15b161 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2015-09-16T15:35:33Z (GMT) No. of bitstreams: 1 Dissertação - Abraão C Mendes.pdf: 596466 bytes, checksum: 828e2e3d4596502c864741954a15b161 (MD5) / Made available in DSpace on 2015-09-16T15:35:34Z (GMT). No. of bitstreams: 1 Dissertação - Abraão C Mendes.pdf: 596466 bytes, checksum: 828e2e3d4596502c864741954a15b161 (MD5) Previous issue date: 2015-08-12 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / For a long time one was looking for an answer of Peano’s theorem in infinitedimensional Banach spaces. In 1974, Godunov proved that the Peano’s theorem holds in a Banach space X if and only if X has finite dimension. In the following, he turned all his attention to the weak form of Peano’s theorem in the infinite-dimensional case. In 2003, Shkarin proved that if X is a Banach space containing a complemented subspace with an unconditional Schauder basis, then the weak form of Peano’s theorem does not hold. In this work we try to show all details of the proof. / Por muito tempo procurou-se responder à questão da validade (ou não-validade) do Teorema de Peano em espaços de Banach de dimensão infinita. Mas, em 1974, Godunov mostrou que o Teorema de Peano é válido em um espaço de Banach X se, e somente se, X tem dimensão finita (veja [13]). Voltou-se, então, a atenção para a Forma Fraca do Teorema de Peano no caso de dimensão infinita. Em 2003, Shkarin mostrou que se X é um espaço de Banach contendo um subespaço complementado com base de Schauder incondicional, então a Forma Fraca do Teorema de Peano não é válida (veja [14]). Veremos os detelhes deste resultado ao longo deste trabalho.

Orientador: Jorge Tulio Mujica Ascui / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica / Made available in DSpace on 2018-08-27T12:08:37Z (GMT). No. of bitstreams: 1 MelendezCaraballo_Blas_M.pdf: 1140173 bytes, checksum: 61bc3f801fdfc8946dd6852692a39bfd (MD5) Previous issue date: 2015 / Resumo: Em 1960, Pelczynski [1] provou que, se X é um dos espaços c0 ou lp, com p número real maior ou igual do que um. Então todo subespaço complementado de dimensão infinita de X é isomorfo a X. Outro resultado clássico de Pelczynski [1] afirma que se p é um número real maior do que um, então o espaço Lp[0,1] contém um subespaço complementado isomorfo a l2. Nosso objetivo é estudar os resultados deste tipo, e introduzir alguns problemas abertos. BIBLIOGRAFIA [1] A. Pelczynski, Projections in certain Banach spaces, Studia Methematica, 19 (1960), pág. 209-228 / Abstract: In 1960, Pelczynski [1] showed that if X is one of the spaces c0 or lp, p real number greater than or equal to one. Then each infinite dimensional subspace complemented in X is isomorphic to X. Another classical result of Pelczynski [1] states that if p is a real number greater that one, then the space Lp[0,1] contains a complemented subspace isomorphic to l2. Our aim is to study results of this kind, and to introduce some open problems. BIBLIOGRAFIA [1] A. Pelczynski, Projections in certain Banach spaces, Studia Methematica, 19 (1960), pág. 209-228 / Mestrado / Matematica / Mestre em Matemática

We study variants of P-frames and associated rings, which can be viewed as natural generalizations of the classical variants of P-spaces and associated rings. To be more precise, we de ne quasi m-rings to be those rings in which every prime d-ideal is either maximal or minimal. For a completely regular frame L, if the ring RL of real-valued continuous functions of L is a quasi m-ring, we say L is a quasi cozero complemented frame. These frames are less restricted than the cozero complemented frames. Using these frames we study some properties of what are called quasi m-spaces, and observe that the property of being a quasi m-space is inherited by cozero subspaces, dense z- embedded subspaces, and regular-closed subspaces among normal quasi m-space. M. Henriksen, J. Mart nez and R. G. Woods have de ned a Tychono space X to be a quasi P-space in case every prime z-ideal of C(X) is either minimal or maximal. We call a point I of L a quasi P-point if every prime z-ideal of RL contained in the maximal ideal associated with I is either maximal or minimal. If all points of L are quasi P-points, we say L is a quasi P-frame. This is a conservative de nition in the sense that X is a quasi P-space if and only if the frame OX is a quasi P-frame. We characterize these frames in terms of cozero elements, and, among cozero complemented frames, give a su cient condition for a frame to be a quasi P-frame. A Tychono space X is called a weak almost P-space if for every two zero-sets E and F of X with IntE IntF, there is a nowhere dense zero-set H of X such that E F [H. We present the pointfree version of weakly almost P-spaces. We de ne weakly regular rings by a condition characterizing the rings C(X) for weak almost P-spaces X. We show that a reduced f-ring is weakly regular if and only if every prime z-ideal in it which contains only zero-divisors is a d-ideal. We characterize the frames L for which the ring RL of real-valued continuous functions on L is weakly regular. We introduce the notions of boundary frames and boundary rings, and use them to give another ring-theoretic characterization of boundary spaces. We show that X is a boundary space if and only if C(X) is a boundary ring. A Tychono space whose Stone- Cech compacti cation is a nite union of closed subspaces each of which is an F-space is said to be nitely an F-space. Among normal spaces, S. Larson gave a characterization of these spaces in terms of properties of function rings C(X). By extending this notion to frames, we show that the normality restriction can actually be dropped, even in spaces, and thus we sharpen Larson's result. / Mathematics / D. Phil. (Mathematics)

The objective of the thesis is to describe and compare the modifying uses of two adjectives which can appear both as premodifiers as well as bare postmodifiers, namely available and responsible. Both modifying positions are examined with respect to the textual environment, the complexity of noun phrases and adjective phrases in which the adjectives function, reference and other features in order to outline the patterns in which these two adjectives appear. The data for the analytical part have been extracted from the British National Corpus using the basic query and limiting the search to the written part of the corpus. After manual assessment of the initial samples of 500 concordance lines, 154 concordance lines containing the adjective available and 147 containing the adjective responsible proved to be suitable for the analysis. The final samples of the data are further categorized and analysed concerning the complexity of the noun phrase, premodification, postmodification and complementation of the adjectives, semantic preference of the head nouns, and the motivation for the pre- or postnominal placement of the modifiers. Key words: adjective, adjective phrase, premodification, postmodification, complementation, attributive function, predicative function, postpositive function, bare adjective,...

Este trabalho tem dois objetivos principais. Primeiramente, estudamos as cópias complementadas de co(T) em espaços de Banach, onde T é um cardinal infinito. Estendemos ao caso não-enumerável um resultado clássico obtido por T. Schlumprecht que caracteriza as cópias complementadas de co em um espaço de Banach X. Usamos esta nova caracterização para estender resultados de G. Emmanuele, F. Bombal, D. Leung e F. Räbiger envolvendo as cópias complementadas de co nos espaços de Banach clássicos `p(I,X), onde p T[1, &#8734 ] e I é um conjunto não-vazio. Nós também provamos um novo resultado sobre as cópias complementadas de co(T) nos espaços Co(K,X), onde K é um espaço de Hausdor localmente compacto. Em seguida, estudamos uma extensão vetorial do clássico Teorema de Banach-Stone obtida por K. Jarosz. Estudando várias constantes introduzidas por R. James, J. Schäer, M. Baronti, E. Casini e P. Pappini, nós provamos uma nova relação entre os módulos de convexidade dos espaços Xe X*, que possui interesse independente. Esta relação é usada para provar uma nova reneralização vetorial do Teorema de Banach-Stone que simultaneamente estende o Teorema de Jarosz e também mostra que este último resultado é, de fato, uma consequência de um teorema obtido recentemente por F. Cidral, E. Galego e M. RincónVillamizar. / The goal of this work is two-fold. First, we study the complemented copies of co(T) in Banach spaces, where T is an innite cardinal. We extend to the uncountable case a classical result by T. Schulmprecht that characterizes the complemented copies of co in a Banach space X. We use this new characterization to extend results by G. Emmanuele, F. Bombal, D. Leung and F. Räbiger concerning the complemented copies of co in the classical Banach spaces `p(I,X), where p T[1, &#8734 ] and I is a non-empty set. We also obtain a new result involving the complemented copies of co(T) in Co(K,X) spaces, where Kis a locally compact Hausdor space. Next, we turn our attention to a vector-valued extension of the classical Banach-Stone theorem obtained by K. Jarosz. Studying several constants introduced by R. James, J. Schäffer, M. Baronti, E. Casini and P. Pappini, we obtain a new relationship between the moduli of convexity of Xand X*, which has independent interest. We then apply this relationship to prove a new X-valued generalization of the Banach-Stone theorem that simultaneously extends the aforementioned result by Jarosz and also shows that this result is, in fact, a consequence of a theorem obtained recently by F. Cidral, E. Galego and M. Rincón-Villamizar.

Este trabalho tem dois objetivos principais. Primeiramente, estudamos as cópias complementadas de co(T) em espaços de Banach, onde T é um cardinal infinito. Estendemos ao caso não-enumerável um resultado clássico obtido por T. Schlumprecht que caracteriza as cópias complementadas de co em um espaço de Banach X. Usamos esta nova caracterização para estender resultados de G. Emmanuele, F. Bombal, D. Leung e F. Räbiger envolvendo as cópias complementadas de co nos espaços de Banach clássicos `p(I,X), onde p T[1, &#8734 ] e I é um conjunto não-vazio. Nós também provamos um novo resultado sobre as cópias complementadas de co(T) nos espaços Co(K,X), onde K é um espaço de Hausdor localmente compacto. Em seguida, estudamos uma extensão vetorial do clássico Teorema de Banach-Stone obtida por K. Jarosz. Estudando várias constantes introduzidas por R. James, J. Schäer, M. Baronti, E. Casini e P. Pappini, nós provamos uma nova relação entre os módulos de convexidade dos espaços Xe X*, que possui interesse independente. Esta relação é usada para provar uma nova reneralização vetorial do Teorema de Banach-Stone que simultaneamente estende o Teorema de Jarosz e também mostra que este último resultado é, de fato, uma consequência de um teorema obtido recentemente por F. Cidral, E. Galego e M. RincónVillamizar. / The goal of this work is two-fold. First, we study the complemented copies of co(T) in Banach spaces, where T is an innite cardinal. We extend to the uncountable case a classical result by T. Schulmprecht that characterizes the complemented copies of co in a Banach space X. We use this new characterization to extend results by G. Emmanuele, F. Bombal, D. Leung and F. Räbiger concerning the complemented copies of co in the classical Banach spaces `p(I,X), where p T[1, &#8734 ] and I is a non-empty set. We also obtain a new result involving the complemented copies of co(T) in Co(K,X) spaces, where Kis a locally compact Hausdor space. Next, we turn our attention to a vector-valued extension of the classical Banach-Stone theorem obtained by K. Jarosz. Studying several constants introduced by R. James, J. Schäffer, M. Baronti, E. Casini and P. Pappini, we obtain a new relationship between the moduli of convexity of Xand X*, which has independent interest. We then apply this relationship to prove a new X-valued generalization of the Banach-Stone theorem that simultaneously extends the aforementioned result by Jarosz and also shows that this result is, in fact, a consequence of a theorem obtained recently by F. Cidral, E. Galego and M. Rincón-Villamizar.

No description available.