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Author : Zbigniew Semadeni
Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.3/5 (91 download)
Download or read book Banach Spaces of Continuous Functions written by Zbigniew Semadeni and published by . This book was released on 1971 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Z. Semadeni
Publisher : Springer
ISBN 13 : 3540391436
Total Pages : 142 pages
Book Rating : 4.5/5 (43 download)
Download or read book Schauder Bases in Banach Spaces of Continuous Functions written by Z. Semadeni and published by Springer. This book was released on 2006-11-14 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kondagunta Sundaresan
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (412 download)
Download or read book Spaces of Continuous Functions Into a Banach Space written by Kondagunta Sundaresan and published by . This book was released on 1970 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. G. Dales
Publisher : Springer
ISBN 13 : 3319323490
Total Pages : 286 pages
Book Rating : 4.3/5 (193 download)
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.
Author : G.L.M. Groenewegen
Publisher : Springer
ISBN 13 : 9462392013
Total Pages : 183 pages
Book Rating : 4.4/5 (623 download)
Download or read book Spaces of Continuous Functions written by G.L.M. Groenewegen and published by Springer. This book was released on 2016-06-17 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
Author : Richard J. Fleming
Publisher : CRC Press
ISBN 13 : 1420026151
Total Pages : 209 pages
Book Rating : 4.4/5 (2 download)
Download or read book Isometries on Banach Spaces written by Richard J. Fleming and published by CRC Press. This book was released on 2002-12-23 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric
Author : Kenneth Hoffman
Publisher : Courier Corporation
ISBN 13 : 048614996X
Total Pages : 227 pages
Book Rating : 4.4/5 (861 download)
Download or read book Banach Spaces of Analytic Functions written by Kenneth Hoffman and published by Courier Corporation. This book was released on 2014-06-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.
Author : Petr Hájek
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110258994
Total Pages : 514 pages
Book Rating : 4.1/5 (12 download)
Download or read book Smooth Analysis in Banach Spaces written by Petr Hájek and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-29 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.
Author : Pilar Cembranos
Publisher : Springer
ISBN 13 : 3540696393
Total Pages : 124 pages
Book Rating : 4.5/5 (46 download)
Download or read book Banach Spaces of Vector-Valued Functions written by Pilar Cembranos and published by Springer. This book was released on 2006-11-14 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: "When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
Author : Fernando Albiac
Publisher : Springer
ISBN 13 : 3319315579
Total Pages : 512 pages
Book Rating : 4.3/5 (193 download)
Download or read book Topics in Banach Space Theory written by Fernando Albiac and published by Springer. This book was released on 2016-07-19 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews
Author : Herbert James Alexander
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (34 download)
Download or read book Analytic Functions on Banach Spaces written by Herbert James Alexander and published by . This book was released on 1968 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip Chadsey Curtis
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.F/5 ( download)
Download or read book Topics in Banach Spaces of Continuous Functions written by Philip Chadsey Curtis and published by . This book was released on 1970 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zbigniew Semadeni
Publisher : Springer Verlag
ISBN 13 : 9780387114811
Total Pages : 135 pages
Book Rating : 4.1/5 (148 download)
Download or read book Schauder Bases in Banach Spaces of Continuous Functions written by Zbigniew Semadeni and published by Springer Verlag. This book was released on 1982 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Krzysztof Jarov
Publisher : CRC Press
ISBN 13 : 1000147932
Total Pages : 450 pages
Book Rating : 4.0/5 (1 download)
Download or read book Function Spaces written by Krzysztof Jarov and published by CRC Press. This book was released on 2020-08-27 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Author : Antonio José Guirao
Publisher : Springer Nature
ISBN 13 : 3031086554
Total Pages : 621 pages
Book Rating : 4.0/5 (31 download)
Download or read book Renormings in Banach Spaces written by Antonio José Guirao and published by Springer Nature. This book was released on 2022-08-23 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections. The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured form. Second, a large collection of recent contributions shows the actual landscape of the field, helping the reader to access the vast existing literature, with hints of proofs and relationships among the different subtopics. Third, it can be used as a reference thanks to comprehensive lists and detailed indices that may lead to expected or unexpected information. Both specialists and newcomers to the field will find this book appealing, since its content is presented in such a way that ready-to-use results may be accessed without going into the details. This flexible approach, from the in-depth reading of a proof to the search for a useful result, together with the fact that recent results are collected here for the first time in book form, extends throughout the book. Open problems and discussions are included, encouraging the advancement of this active area of research.
Author : Antonio Avilés
Publisher : Springer
ISBN 13 : 3319147412
Total Pages : 236 pages
Book Rating : 4.3/5 (191 download)
Download or read book Separably Injective Banach Spaces written by Antonio Avilés and published by Springer. This book was released on 2016-03-26 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l∞/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L∞ spaces and spaces of universal disposition). It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.
Author : H.E. Lacey
Publisher : Springer Science & Business Media
ISBN 13 : 3642657621
Total Pages : 281 pages
Book Rating : 4.6/5 (426 download)
Download or read book The Isometric Theory of Classical Banach Spaces written by H.E. Lacey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1
