Topics In Banach Spaces Of Continuous Functions
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Topics In Banach Space Theory
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Author : Fernando Albiac
language : en
Publisher: Taylor & Francis
Release Date : 2006-01-04
Topics In Banach Space Theory written by Fernando Albiac and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-04 with Mathematics categories.
This book emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Its aim is to provide 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.
Topics In Banach Space Theory
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Author : Fernando Albiac
language : en
Publisher: Springer
Release Date : 2016-07-19
Topics In Banach Space Theory written by Fernando Albiac and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-19 with Mathematics categories.
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
Topics In Banach Spaces Of Continuous Functions
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Author :
language : da
Publisher:
Release Date : 1970
Topics In Banach Spaces Of Continuous Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Spaces Of Continuous Functions
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Author : G.L.M. Groenewegen
language : en
Publisher: Springer
Release Date : 2016-06-17
Spaces Of Continuous Functions written by G.L.M. Groenewegen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Mathematics categories.
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.
Schauder Bases In Banach Spaces Of Continuous Functions
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Author : Z. Semadeni
language : en
Publisher: Springer
Release Date : 2006-11-14
Schauder Bases In Banach Spaces Of Continuous Functions written by Z. Semadeni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Topics In Banach Spaces Of Continuous Functions
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Author : Alan John Ellis
language : en
Publisher:
Release Date : 1978
Topics In Banach Spaces Of Continuous Functions written by Alan John Ellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Banach spaces categories.
Topics In Banach Space Integration
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Author : Stefan Schwabik
language : en
Publisher: World Scientific
Release Date : 2005
Topics In Banach Space Integration written by Stefan Schwabik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The relatively new concepts of the HenstockKurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The HenstockKurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals.
Topics In Banach Spaces Of Continuous Functions
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Author : Philip Chadsey Curtis
language : en
Publisher:
Release Date : 1970
Topics In Banach Spaces Of Continuous Functions written by Philip Chadsey Curtis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Banach algebras categories.
Banach Spaces Of Continuous Functions
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Author : Zbigniew Semadeni
language : en
Publisher:
Release Date : 1971
Banach Spaces Of Continuous Functions written by Zbigniew Semadeni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Banach spaces categories.
Descriptive Topology In Selected Topics Of Functional Analysis
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Author : Jerzy Kąkol
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-30
Descriptive Topology In Selected Topics Of Functional Analysis written by Jerzy Kąkol and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Mathematics categories.
"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.