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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

PRESCALAR ELEMENTS IN BANACH ALGEBRAS

Thomas, Gary Marshall, 1943- January 1971 (has links)
No description available.
2

Rank, trace and determinant in Banach algebras

23 April 2015 (has links)
M.Sc. (Mathematics) / Determinants have been present since the very beginning of functional analysis. The determinants of in nite matrices were investigated for the rst time by the astronomer G. W. Hill in his studies on lunar theory. These ideas were then made exact by H. Poincare in 1886. Ten years later, H. von Koch polished and generalized Poincare's results. In 1903, I. Fredholm provided groundbreaking research into the development of a determinant theory for integral operators ...
3

Survey on the theory of Banach lattices.

January 1992 (has links)
by Ming-Wai Cheung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1992. / Includes bibliographical references (leaves 64-65). / Introduction --- p.1 / Chapter Chapter 0. --- Notations and Preliminaries --- p.3 / Chapter 0.0. --- Bornologies / Chapter 0.1. --- Ordered Vector Spaces / Chapter 0.2. --- Vector Lattices / Chapter 0.3. --- Substructures of vector lattices and Order Completeness / Chapter 0.4. --- Banach Lattices / Chapter 0.5. --- AL- and AM- spaces / Chapter 0.6. --- Operator Modules and Ideal Cones / Chapter Chapter 1. --- Tensor Products of Ordered Banach Spaces --- p.25 / Chapter Chapter 2. --- Positive Approximation Property --- p.30 / Chapter 2.1. --- Approximation Properties in LCS / Chapter 2.2. --- Approximation Properties in Banach Spaces / Chapter 2.3. --- Positive Approximation Properties in Locally Solid Spaces / Chapter 2.4. --- Positive A.P. in Locally Solid OBS and Banach Lattices / Chapter Chapter 3. --- Order Bounded Bornologies of Banach Lattices --- p.49 / Chapter 3.1. --- Characterizations of B-Lattices by the Order-Bounded Bornologies / Chapter 3.2. --- Order-Bounded-Compact Property of Banach Lattices / References --- p.64 / Notations --- p.67
4

Amenability of certain banach algebras.

January 2006 (has links)
Cheng Yin Hei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 72-75). / Abstracts in English and Chinese. / Chapter 1 --- Preliminaries --- p.1 / Chapter 1.1 --- "Haar measures, Group algebras and measure algebras of locally compact groups" --- p.1 / Chapter 1.2 --- Banach algebras and amenability --- p.7 / Chapter 2 --- Cohomological properties of Group algebras and Measure algebras --- p.13 / Chapter 2.1 --- Cohomological properties of L1(G) --- p.13 / Chapter 2.2 --- Amenability and weak amenability of M(G) --- p.16 / Chapter 3 --- Amenability and Fourier algebras with Bounded Approximate identities --- p.20 / Chapter 3.1 --- "Properties of Fourier-Stieltjes algebras, Fourier algebras, group von Neumann algebras" --- p.21 / Chapter 3.2 --- Conditions on A(G) that characterizing the amenability of G --- p.25 / Chapter 4 --- Operator Amenability and Fourier algebras --- p.45 / Chapter 4.1 --- Operator Amenability --- p.45 / Chapter 4.2 --- Hopf-von Neumann algebras and their predual structures --- p.50 / Chapter 4.3 --- Operator Cohomological properties of A(G) --- p.51 / Chapter 4.4 --- Ideals in A(G) with bounded approximate identities --- p.60 / Chapter 4.5 --- Other Cohomological properties of A(G) --- p.64 / Chapter A --- "Objects or notions and their ""dual"" versions" --- p.69 / Chapter B --- "Results and ""dual results"" for general locally compact groups" --- p.70 / Chapter C --- "Results and ""dual results"" which are equivalent to the amenability of the group" --- p.71 / Bibliography --- p.72
5

Extentions of functional calculus for Banach space operators

Terauds, Venta, School of Mathematics, UNSW January 2006 (has links)
We consider conditions under which a continuous functional calculus for a Banach space operator T ?? L(X) may be extended to a bounded Borel functional calculus, and under which a functional calculus for absolutely continuous (AC) functions may be extended to one of for functions of bounded variation (BV). The natural setting for investigating the former case is finitely spectral operators, and for the latter, well-bounded operators. Some such conditions are well-established. If X is a reflexive space, both type of Extensions are assured; in fact if X contains an isomorphic copy of co, then every Operator T ?? L(X) that has a continuous functional calculus necessarily admits a Borel one. We show that if a space X has a predual, then also every operator T ?? L(X) with a continuous functional calculus admits a bounded Borel functional Calculus. In case a Banach space X either contains an isomorphic copy of co, or has a Predual, and T ?? L(X) is an operator with an AC functional calculus, we find that the existence of a decomposition of the identity of bounded variation for T is sufficient to ensure that the AC functional calculus may be extended to a BV functional calculus. We also consider operators defined by a linear map on interpolation families of Banach spaces [Xr, X???] (r???1), where for example Xp = lp, Lp[0,1] or Cp. We show that under certain uniform boundedness conditions, the possession of a BV functional calculus by operators on the spaces Xp, p ?? (r, ???), may be extrapolated to the corresponding operators on the spaces Xr and X???.
6

On numerical range and its application to Banach algebra

Sims, Brailey. January 1972 (has links)
Bibliography: leaves 134-142.
7

An iterative procedure for the solution of nonlinear equations in a Banach space /

Aalto, Sergei Kalvin. January 1968 (has links)
Thesis (Ph. D.)--Oregon State University, 1968. / Typescript (photocopy). Includes bibliographical references (leaves 60-62). Also available on the World Wide Web.
8

Representing structures in Banach spaces /

Vershynin, Roman, January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 149-155). Also available on the Internet.
9

Representing structures in Banach spaces

Vershynin, Roman, January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 149-155). Also available on the Internet.
10

On closest-point maps in Banach spaces

Stiles, Wilbur Janes 05 1900 (has links)
No description available.

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