Banach Spaces of Continuous Functions PDF Download

Author: Zbigniew Semadeni
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 594

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Book Description

Author: Philip Chadsey Curtis
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 330

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Book Description

Author: Fernando Albiac
Publisher: Springer
ISBN: 3319315579
Category : Mathematics
Languages : en
Pages : 508

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Book Description
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: Alan John Ellis
Publisher:
ISBN: 9780333902721
Category : Banach spaces
Languages : en
Pages : 79

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Author: G.L.M. Groenewegen
Publisher: Springer
ISBN: 9462392013
Category : Mathematics
Languages : en
Pages : 173

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Book Description
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: Philip Chadsey Curtis
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: P. C. Curtis
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 314

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Book Description

Author: H. G. Dales
Publisher: Springer
ISBN: 3319323490
Category : Mathematics
Languages : en
Pages : 277

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Book Description
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: Z. Semadeni
Publisher: Springer
ISBN: 3540391436
Category : Mathematics
Languages : en
Pages : 142

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Book Description

Author: Krzysztof Jarov
Publisher: CRC Press
ISBN: 1000147932
Category : Mathematics
Languages : en
Pages : 450

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Book Description
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.