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Tensor Norms And Operator Ideals
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Book Synopsis Tensor Norms and Operator Ideals by : A. Defant
Download or read book Tensor Norms and Operator Ideals written by A. Defant and published by Elsevier. This book was released on 1992-11-26 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.
Book Synopsis Introduction to Tensor Products of Banach Spaces by : Raymond A. Ryan
Download or read book Introduction to Tensor Products of Banach Spaces written by Raymond A. Ryan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Metric Theory of Tensor Products by : Joseph Diestel
Download or read book The Metric Theory of Tensor Products written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.
Book Synopsis Recent Advances in Operator Theory, Operator Algebras, and their Applications by : Dumitru Gaspar
Download or read book Recent Advances in Operator Theory, Operator Algebras, and their Applications written by Dumitru Gaspar and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.
Book Synopsis Functors and Categories of Banach Spaces by : P.W. Michor
Download or read book Functors and Categories of Banach Spaces written by P.W. Michor and published by Springer. This book was released on 2006-11-15 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Descriptive Topology and Functional Analysis II by : Juan Carlos Ferrando
Download or read book Descriptive Topology and Functional Analysis II written by Juan Carlos Ferrando and published by Springer. This book was released on 2019-06-02 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Book Synopsis Orthonormal Systems and Banach Space Geometry by : Albrecht Pietsch
Download or read book Orthonormal Systems and Banach Space Geometry written by Albrecht Pietsch and published by Cambridge University Press. This book was released on 1998-09-10 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the interplay between orthonormal expansions and Banach space geometry.
Book Synopsis Banach Function Algebras, Arens Regularity, and BSE Norms by : Harold Garth Dales
Download or read book Banach Function Algebras, Arens Regularity, and BSE Norms written by Harold Garth Dales and published by Springer Nature. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bilinear Maps and Tensor Products in Operator Theory by : Carlos S. Kubrusly
Download or read book Bilinear Maps and Tensor Products in Operator Theory written by Carlos S. Kubrusly and published by Springer Nature. This book was released on 2023-12-18 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Methods in Banach Space Theory by : Jesus M. F. Castillo
Download or read book Methods in Banach Space Theory written by Jesus M. F. Castillo and published by Cambridge University Press. This book was released on 2006-11-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of modern Banach space theory.
Book Synopsis History of Banach Spaces and Linear Operators by : Albrecht Pietsch
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 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.
Book Synopsis Advanced Courses of Mathematical Analysis II by : A. Rodriguez-Palacios
Download or read book Advanced Courses of Mathematical Analysis II written by A. Rodriguez-Palacios and published by World Scientific. This book was released on 2007 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of new directions and advances in topics for current and future research in the field.
Book Synopsis Advanced Courses of Mathematical Analysis II by :
Download or read book Advanced Courses of Mathematical Analysis II written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Progress in Functional Analysis by : K.D. Bierstedt
Download or read book Recent Progress in Functional Analysis written by K.D. Bierstedt and published by Elsevier. This book was released on 2001-09-20 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Proceedings Volume contains 32 articles on various interesting areas ofpresent-day functional analysis and its applications: Banach spaces andtheir geometry, operator ideals, Banach and operator algebras, operator andspectral theory, Frechet spaces and algebras, function and sequence spaces.The authors have taken much care with their articles and many papers presentimportant results and methods in active fields of research. Several surveytype articles (at the beginning and the end of the book) will be very usefulfor mathematicians who want to learn "what is going on" in some particularfield of research.
Book Synopsis Operator Theory, Functional Analysis and Applications by : M. Amélia Bastos
Download or read book Operator Theory, Functional Analysis and Applications written by M. Amélia Bastos and published by Springer Nature. This book was released on 2021-03-31 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
Book Synopsis Advanced Courses of Mathematical Analysis IV by : F Javier Pérez-Fernández
Download or read book Advanced Courses of Mathematical Analysis IV written by F Javier Pérez-Fernández and published by World Scientific. This book was released on 2011-09-23 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings is a collection of articles by front-line researchers in Mathematical Analysis, giving the reader a wide perspective of the current research in several areas like Functional Analysis, Complex Analysis and Measure Theory. The works are a fundamental source for current and future developments in these research fields. The articles and surveys have been collected as well as reference results scattered in the corresponding literature and thus, are highly useful to researchers. Contents:Mini-Courses:Weyl Type Theorems for Bounded Linear Operators on Banach Spaces (Pietro Aiena)Finitely Additive Measures in Action (Joe Diestel and Angela Spalsbury)Sampling and Recovery of Bandlimited Functions and Applications to Signal Processing (Th. Schlumprecht)Plenary Speakers:Isometric Shifts Between Spaces of Continuous Functions (Jesús Araujo)Uniform Algebras of Symmetric Holomorphic Functions (Richard M Aron and Pablo Galindo)Some Results on the Local Theory of Normed Spaces Since 2002 (1997) (F J García-Pacheco)A Survey on Linear (Additive) Preserver Problems (Mostafa Mbekhta)Bounded Approximation Properties via Banach Operator Ideals (Eve Oja)Linear or Bilinear Mappings Between Spaces of Continuous or Lipschitz Functions (Fernando Rambla-Barreno)Summability and Lineability in the Work of Antonio Aizpuru Tomás (Juan B Seoane-Sepúlveda)Optimal Bounds for the Hardy Operator Minus the Identity (Javier Soria) Readership: Researchers and professionals in analysis. Keywords:Mathematical Analysis;Functional Analysis;Complex Analysis;Measure TheoryKey Features:There are surveys on: Weyl type theorems in the theory of bounded linear operators, forward shifts between spaces of continuous functions, algebras of holomorphic functions, finitely additive measures, linear preserver problems, the contributions to Functional Analysis by Antonio Aizpuru Tomás and the "Cádiz school"Some very prominent contributors: R Aron, J Diestel, T Schlumprecht, J Araújo, M Mbekhta and many othersThe results are completely up-to-date and many of them have not appeared elsewhere yet
Book Synopsis Advanced Courses of Mathematical Analysis IV by : F. Javier Perez-Fernandez
Download or read book Advanced Courses of Mathematical Analysis IV written by F. Javier Perez-Fernandez and published by World Scientific. This book was released on 2012 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Proceedings contains a collection of articles by front-line researchers in Mathematical Analysis, giving the reader a wide perspective of the current research in several areas like Functional Analysis, Complex Analysis and Measure Theory. The works are a fundamental source for current and future developments in these research fields. The articles and surveys have been collected as well as reference results scattered in the corresponding literature and thus, are highly useful to researchers.
