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Download or read book Topics in Banach spaces of continuous functions written by and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : Alan John Ellis
Publisher :
ISBN 13 : 9780333902721
Total Pages : 79 pages
Book Rating : 4.9/5 (27 download)
Download or read book Topics in Banach Spaces of Continuous Functions written by Alan John Ellis and published by . This book was released on 1978 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Philip Chadsey Curtis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (989 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 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. C. Curtis (Jr.)
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Topics in Banach spaces of continuous functions written by P. C. Curtis (Jr.) and published by . This book was released on 1970 with total page 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 : P. C. Curtis
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (255 download)
Download or read book Topics in Banach Spaces of Continuous Functions written by P. C. Curtis and published by . This book was released on 1970 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. C. Curtis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (641 download)
Download or read book Topics in Banach Spaces of Continuous Functions written by P. C. Curtis and published by . This book was released on 1970 with total page 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 : 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 : Philip C. Curtis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (91 download)
Download or read book Topics in Banach Spaces of Continuous Functions written by Philip C. Curtis and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : Krzysztof Jarosz
Publisher : American Mathematical Soc.
ISBN 13 : 0821832697
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)
Download or read book Function Spaces written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2003 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions. The lectures covered a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $Lp$-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and related subjects. Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.
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.
