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Isomorphisms Of L-kothe SpacesKarapinar, Erdal 01 October 2003 (has links) (PDF)
In this thesis, we study on l-Kö / the spaces. By the help of interpolation theory, we use linear topological invariants to get isomorphisms of Cartesian products of l-power series spaces. We also see that multirectangular
n-equivalent characteristics is linear toplogical invariant for power l-Kö / the spaces of first type.
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Invariant Subspaces Of Positive Operators On Riesz Spaces And Observations On Cd0(k)-spacesCaglar, Mert 01 August 2005 (has links) (PDF)
The present work consists of two main parts. In the first part, invariant subspaces of positive operators or operator families on locally convex solid Riesz spaces are examined. The concept of a weakly-quasinilpotent operator on a locally convex solid Riesz space has been introduced and several results that are known for a single operator on Banach lattices have been generalized to families of positive or close-to-them operators on these spaces.
In the second part, the so-called generalized Alexandroff duplicates are studied and CDsigma, gamma(K, E)-type spaces are investigated. It has then been shown that the space CDsigma, gamma(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff duplicate of K.
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Development of clinical reasoning capability in student physical therapistsChristensen, Nicole January 2009 (has links)
One of the goals for physical therapist graduates of professional entry-level education programs is development of the ability to practice effectively in the present health care environment. Another goal is for graduates to develop the ability to continue to learn and grow as professionals throughout their careers, and to contribute to the evolution of their profession in the future. The clinical reasoning and associated experiential learning of new graduates can be viewed as a practical demonstration of both of these goals. This research explored student physical therapists? understanding and learning of clinical reasoning during their professional entry education. / PhD Doctorate
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Functional calculus and coadjoint orbits.Raffoul, Raed Wissam, Mathematics & Statistics, Faculty of Science, UNSW January 2007 (has links)
Let G be a compact Lie group and let π be an irreducible representation of G of highest weight λ. We study the operator-valued Fourier transform of the product of the j-function and the pull-back of ?? by the exponential mapping. We show that the set of extremal points of the convex hull of the support of this distribution is the coadjoint orbit through ?? + ??. The singular support is furthermore the union of the coadjoint orbits through ?? + w??, as w runs through the Weyl group. Our methods involve the Weyl functional calculus for noncommuting operators, the Nelson algebra of operants and the geometry of the moment set for a Lie group representation. In particular, we re-obtain the Kirillov-Duflo correspondence for compact Lie groups, independently of character formulae. We also develop a "noncommutative" version of the Kirillov character formula, valid for noncentral trigonometric polynomials. This generalises work of Cazzaniga, 1992.
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Generalized sequence spaces and nuclearity /Shatanawi, Wasfi, January 1900 (has links)
Thesis (Ph. D.)--Carleton University, 2002. / Includes bibliographical references (p. 95-98). Also available in electronic format on the Internet.
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Lipschitz and commutator estimates, a unified approachPotapov, Denis Sergeevich, January 2007 (has links)
Thesis (Ph.D.)--Flinders University, School of Informatics and Engineering, Dept. of Mathematics. / Typescript bound. Includes bibliographical references: (leaves 135-140) and index. Also available online.
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Combinatorial and commutative manipulations in Feynman's Operational Calculi for noncommuting operatorsEinfeld, Duane. January 2009 (has links)
Thesis (Ph.D.)--University of Nebraska-Lincoln, 2009. / Title from title screen (site viewed June 26, 2009). PDF text: v, 238 p. ; 2 Mb. UMI publication number: AAT 3350445. Includes bibliographical references. Also available in microfilm and microfiche formats.
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Transient analysis of nonuniform high-speed interconnects.Manney, Sanjay (Sanjay Leela), Carleton University. Dissertation. Engineering, Electrical. January 1992 (has links)
Thesis (M. Eng.)--Carleton University, 1993. / Also available in electronic format on the Internet.
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A comparison of four estimators of a population measure of model misfit in covariance structure analysisZhang, Wei. January 2005 (has links)
Thesis (M. A.)--University of Notre Dame, 2005. / Thesis directed by Ke-Hai Yuan for the Department of Psychology. "October 2005." Includes bibliographical references (leaves 60-63).
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Fredholm theory in general Banach algebrasHeymann, Retha 03 1900 (has links)
Thesis (MSc (Mathematics))--University of Stellenbosch, 2010. / ENGLISH ABSTRACT: This thesis is a study of a generalisation, due to R. Harte (see [9]), of Fredholm
theory in the context of bounded linear operators on Banach spaces
to a theory in a Banach algebra setting. A bounded linear operator T on a
Banach space X is Fredholm if it has closed range and the dimension of its
kernel as well as the dimension of the quotient space X/T(X) are finite. The
index of a Fredholm operator is the integer dim T−1(0)−dimX/T(X). Weyl
operators are those Fredholm operators of which the index is zero. Browder
operators are Fredholm operators with finite ascent and descent. Harte’s generalisation
is motivated by Atkinson’s theorem, according to which a bounded
linear operator on a Banach space is Fredholm if and only if its coset is invertible
in the Banach algebra L(X) /K(X), where L(X) is the Banach
algebra of bounded linear operators on X and K(X) the two-sided ideal of
compact linear operators in L(X). By Harte’s definition, an element a of a
Banach algebra A is Fredholm relative to a Banach algebra homomorphism
T : A ! B if Ta is invertible in B. Furthermore, an element of the form
a + b where a is invertible in A and b is in the kernel of T is called Weyl
relative to T and if ab = ba as well, the element is called Browder. Harte
consequently introduced spectra corresponding to the sets of Fredholm, Weyl
and Browder elements, respectively. He obtained several interesting inclusion
results of these sets and their spectra as well as some spectral mapping
and inclusion results. We also convey a related result due to Harte which
was obtained by using the exponential spectrum. We show what H. du T.
Mouton and H. Raubenheimer found when they considered two homomorphisms.
They also introduced Ruston and almost Ruston elements which led
to an interesting result related to work by B. Aupetit. Finally, we introduce
the notions of upper and lower semi-regularities – concepts due to V. M¨uller.
M¨uller obtained spectral inclusion results for spectra corresponding to upper
and lower semi-regularities. We could use them to recover certain spectral
mapping and inclusion results obtained earlier in the thesis, and some could
even be improved. / AFRIKAANSE OPSOMMING: Hierdie tesis is ‘n studie van ’n veralgemening deur R. Harte (sien [9]) van
Fredholm-teorie in die konteks van begrensde lineˆere operatore op Banachruimtes
tot ’n teorie in die konteks van Banach-algebras. ’n Begrensde lineˆere
operator T op ’n Banach-ruimte X is Fredholm as sy waardeversameling geslote
is en die dimensie van sy kern, sowel as di´e van die kwosi¨entruimte
X/T(X), eindig is. Die indeks van ’n Fredholm-operator is die heelgetal
dim T−1(0) − dimX/T(X). Weyl-operatore is daardie Fredholm-operatore
waarvan die indeks gelyk is aan nul. Fredholm-operatore met eindige styging
en daling word Browder-operatore genoem. Harte se veralgemening is gemotiveer
deur Atkinson se stelling, waarvolgens ’n begrensde lineˆere operator op
’n Banach-ruimte Fredholm is as en slegs as sy neweklas inverteerbaar is in die
Banach-algebra L(X) /K(X), waar L(X) die Banach-algebra van begrensde
lineˆere operatore op X is en K(X) die twee-sydige ideaal van kompakte
lineˆere operatore in L(X) is. Volgens Harte se definisie is ’n element a van
’n Banach-algebra A Fredholm relatief tot ’n Banach-algebrahomomorfisme
T : A ! B as Ta inverteerbaar is in B. Verder word ’n Weyl-element relatief
tot ’n Banach-algebrahomomorfisme T : A ! B gedefinieer as ’n element
met die vorm a + b, waar a inverteerbaar in A is en b in die kern van T is.
As ab = ba met a en b soos in die definisie van ’n Weyl-element, dan word
die element Browder relatief tot T genoem. Harte het vervolgens spektra
gedefinieer in ooreenstemming met die versamelings van Fredholm-, Weylen
Browder-elemente, onderskeidelik. Hy het heelparty interessante resultate
met betrekking tot insluitings van die verskillende versamelings en hulle
spektra verkry, asook ’n paar spektrale-afbeeldingsresultate en spektraleinsluitingsresultate.
Ons dra ook ’n verwante resultaat te danke aan Harte
oor, wat verkry is deur van die eksponensi¨ele-spektrum gebruik te maak.
Ons wys wat H. du T. Mouton en H. Raubenheimer verkry het deur twee
homomorfismes gelyktydig te beskou. Hulle het ook Ruston- en byna Rustonelemente
gedefinieer, wat tot ’n interessante resultaat, verwant aan werk van
B. Aupetit, gelei het. Ten slotte stel ons nog twee begrippe bekend, naamlik
’n onder-semi-regulariteit en ’n bo-semi-regulariteit – konsepte te danke
aan V. M¨uller. M¨uller het spektrale-insluitingsresultate verkry vir spektra
wat ooreenstem met bo- en onder-semi-regulariteite. Ons kon dit gebruik
om sekere spektrale-afbeeldingsresultate en spektrale-insluitingsresultate wat
vroe¨er in hierdie tesis verkry is, te herwin, en sommige kon selfs verbeter
word.
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