Topics in Banach Space Theory de Fernando Albiac

Topics in Banach Space Theory: Graduate Texts in Mathematics, cartea 233

Autor Fernando Albiac, Nigel J. Kalton

en Limba Engleză Paperback – 30 mai 2018

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

Citește tot Restrânge

Toate formatele și edițiile

	Preț	Express
Paperback (2)	493^.45 lei 6-8 săpt.
Springer – 19 noi 2010	493^.45 lei 6-8 săpt.
Springer International Publishing – 30 mai 2018	493^.63 lei 38-44 zile
Hardback (1)	495^.09 lei 38-44 zile
Springer International Publishing – 3 aug 2016	495^.09 lei 38-44 zile

Din seria Graduate Texts in Mathematics

Preț: 493^.63 lei

Preț vechi: 609^.41 lei
-19% Nou

Puncte Express: 740

:
94^.46€ • 99^.75$ • 78^.61£

Carte tipărită la comandă

Livrare economică 07-13 ianuarie 25

Adaugă în coș

Wish list
Gift list
Am citit!

Adaugă în listă

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783319810638
ISBN-10: 3319810634
Pagini: 508
Ilustrații: XX, 508 p. 23 illus., 14 illus. in color.
Dimensiuni: 155 x 235 mm
Ediția:Softcover reprint of the original 2nd ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

1. Bases and Basic Sequences.- 2. The Classical Sequence Spaces.- 3. Special Types of Bases.- 4. Banach Spaces of Continuous Functions.- 5. L_{1}(\mu )-Spaces and \mathcal C(K)-Spaces.- 6. The Spaces L_{p} for 1\le p^I Basic probability in use.- Appendix J Generalities on Ultraproducts.- Appendix K The Bochner Integral abridged.- List of Symbols.- References.- Index

Recenzii

“This excellent book is highly recommended to all graduate students and up who want to experience the beauty of the Banach space theory.” (Marián Fabian, Mathematical Reviews, June, 2017)

Notă biografică

Fernando Albiac is Professor of mathematical analysis at the Public University of Navarra in Pamplona Spain. His current research focuses primarily on geometric nonlinear functional analysis and greedy approximation with respect to bases in Banach spaces.
Nigel Kalton was Professor of Mathematics at the University of Missouri, Columbia. He wrote over 250 articles with nearly 100 different co-authors, and was the recipient of the 2004 Banach Medal of the Polish Academy of Sciences.

Textul de pe ultima copertă

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

Caracteristici

New edition extensively revised and updated Includes two new chapters on Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces Provides a self-contained overview of the fundamental ideas and basic techniques in modern Banach space theory

Descriere

Descriere de la o altă ediție sau format:

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