Introduction To Tensor Products Of Banach Spaces PDF Download
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Author | : Raymond A. Ryan |
Publisher | : Springer Science & Business Media |
Total Pages | : 229 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1447139038 |
Download Introduction to Tensor Products of Banach Spaces Book in PDF, ePub and Kindle
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Author | : William A. Light |
Publisher | : Springer |
Total Pages | : 164 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540397418 |
Download Approximation Theory in Tensor Product Spaces Book in PDF, ePub and Kindle
Author | : P.W. Michor |
Publisher | : Springer |
Total Pages | : 104 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540358471 |
Download Functors and Categories of Banach Spaces Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 99 |
Release | : 1964 |
Genre | : Banach spaces |
ISBN | : 9780387087641 |
Download Lecture Notes in Mathematics Book in PDF, ePub and Kindle
Author | : Gilles Pisier |
Publisher | : Cambridge University Press |
Total Pages | : 495 |
Release | : 2020-02-27 |
Genre | : Mathematics |
ISBN | : 1108479014 |
Download Tensor Products of C*-algebras and Operator Spaces Book in PDF, ePub and Kindle
Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.
Author | : Y.-C. Wong |
Publisher | : Springer |
Total Pages | : 426 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540351612 |
Download Schwartz Spaces, Nuclear Spaces and Tensor Products Book in PDF, ePub and Kindle
Author | : Marián Fabian |
Publisher | : Springer Science & Business Media |
Total Pages | : 820 |
Release | : 2011-02-04 |
Genre | : Mathematics |
ISBN | : 1441975152 |
Download Banach Space Theory Book in PDF, ePub and Kindle
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.
Author | : Carlos S. Kubrusly |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : |
ISBN | : 9783031340949 |
Download Bilinear Maps and Tensor Products in Operator Theory Book in PDF, ePub and Kindle
This text covers a first course in bilinear maps and tensor products intending to bring the reader from the beginning of functional analysis to the frontiers of exploration with tensor products. Tensor products, particularly in infinite-dimensional normed spaces, are heavily based on bilinear maps. The author brings these topics together by using bilinear maps as an auxiliary, yet fundamental, tool for accomplishing a consistent, useful, and straightforward theory of tensor products. The author's usual clear, friendly, and meticulously prepared exposition presents the material in ways that are designed to make grasping concepts easier and simpler. The approach to the subject is uniquely presented from an operator theoretic view. An introductory course in functional analysis is assumed. In order to keep the prerequisites as modest as possible, there are two introductory chapters, one on linear spaces (Chapter 1) and another on normed spaces (Chapter 5), summarizing the background material required for a thorough understanding. The reader who has worked through this text will be well prepared to approach more advanced texts and additional literature on the subject. The book brings the theory of tensor products on Banach spaces to the edges of Grothendieck's theory, and changes the target towards tensor products of bounded linear operators. Both Hilbert-space and Banach-space operator theory are considered and compared from the point of view of tensor products. This is done from the first principles of functional analysis up to current research topics, with complete and detailed proofs. The first four chapters deal with the algebraic theory of linear spaces, providing various representations of the algebraic tensor product defined in an axiomatic way. Chapters 5 and 6 give the necessary background concerning normed spaces and bounded bilinear mappings. Chapter 7 is devoted to the study of reasonable crossnorms on tensor product spaces, discussing in detail the important extreme realizations of injective and projective tensor products. In Chapter 8 uniform crossnorms are introduced in which the tensor products of operators are bounded; special attention is paid to the finitely generated situation. The concluding Chapter 9 is devoted to the study of the Hilbert space setting and the spectral properties of the tensor products of operators. Each chapter ends with a section containing “Additional Propositions" and suggested readings for further studies.
Author | : Gilles Pisier |
Publisher | : Cambridge University Press |
Total Pages | : 492 |
Release | : 2003-08-25 |
Genre | : Mathematics |
ISBN | : 9780521811651 |
Download Introduction to Operator Space Theory Book in PDF, ePub and Kindle
An introduction to the theory of operator spaces, emphasising applications to C*-algebras.
Author | : Martin Strauch |
Publisher | : |
Total Pages | : 108 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Tensor Products of Banach Spaces with Unconditional Bases Book in PDF, ePub and Kindle