Download or read book A Hereditarily Indecomposable Banach Space and Embeddings of L Into Spaces of Operators written by Kevin Beanland and published by . This book was released on 2006 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods in the Theory of Hereditarily Indecomposable Banach Spaces written by Spiros Argyros and published by American Mathematical Soc.. This book was released on 2004 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.
Download or read book Narrow Operators on Function Spaces and Vector Lattices written by Mikhail Popov and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.
Download or read book Tauberian Operators written by Manuel González and published by Springer Science & Business Media. This book was released on 2010-01-09 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a complete exposition of the theory of tauberian operators. It describes the origins of the subject in the study of summability of series, and it covers the most recent advances, emphasizing its applications to Banach space theory.
Download or read book Open Problems in the Geometry and Analysis of Banach Spaces written by Antonio J. Guirao and published by Springer. This book was released on 2016-07-26 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study. Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2003-05-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Geometry of Banach Spaces
Download or read book Factorization of Linear Operators and Geometry of Banach Spaces written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 1986 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Expository lectures from the CBMS regional conference held at the University of Missouri-Columbia, June 25-29, 1984"--T.p. verso.
Download or read book Advances in Structured Operator Theory and Related Areas written by Marinus A. Kaashoek and published by Springer Science & Business Media. This book was released on 2013-08-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material and Lerer's list of publications complete the volume.
Download or read book Introduction to Banach Spaces and Algebras written by Graham R. Allan and published by Oxford University Press. This book was released on 2011 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.
Download or read book Banach Spaces of Continuous Functions as Dual Spaces written by H. G. Dales and published by Springer. This book was released on 2016-12-13 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.
Download or read book Topological Algebras Their Applications and Related Topics written by Krzysztof Jarosz and published by . This book was released on 2005 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer. This book was released on 2007-04-11 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Download or read book Embeddings and Factorizations of Banach Spaces written by Bentuo Zheng and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: One problem, considered important in Banach space theory since at least the 1970's, asks for intrinsic characterizations of subspaces of a Banach space with an unconditional basis. A more general question is to give necessary and sufficient conditions for operators from Lp (2
Download or read book Walks on Ordinals and Their Characteristics written by Stevo Todorcevic and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The walks on ordinals and analysis of their characteristics is a subject matter started by the author some twenty years ago in order to disprove a particular extension of the Ramsey theorem. A further analysis has shown however that the resulting method is quite useful in detecting critical mathematical objects in contexts where only rough classifications are possible. The book gives a careful and comprehensive account of the method and gathers many of these applications in a unified and comprehensive manner.
Download or read book Banach Embedding Properties of Non Commutative LP Spaces written by Uffe Haagerup and published by . This book was released on 2014-09-11 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction The modulus of uniform integrability and weak compactness in $L^1(\mathcal N)$ Improvements to the main theorem Complements on the Banach/operator space structure of $L^p(\mathcal N)$-spaces The Banach isomorphic classification of the spaces $L^p(\mathcal N)$ for $\mathcal N$ hyperfinite semi-finite $L^p(\mathcal N)$-isomorphism results for $\mathcal N$ a type III hyperfinite or a free group von Neumann algebra Bibliography
Download or read book Fundamenta Mathematicae written by and published by . This book was released on 2013 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Banach Space Theory written by Marián Fabian and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
