CMS Books in Mathematics

Functional Analysis and Infinite-Dimensional Geometry

Authors: Fabian, M., Habala, P., Hajek, P., Montesinos Santalucia, V., Pelant, J., Zizler, V.

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eBook $69.99
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  • ISBN 978-1-4757-3480-5
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  • Immediate eBook download after purchase
Hardcover $99.00
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  • ISBN 978-0-387-95219-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
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  • ISBN 978-1-4419-2912-9
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  • Usually dispatched within 3 to 5 business days.
Reviews

From the reviews:

"This is a substantial text containing up-to-date exposition and functional analysis from a Banach space point of view. It will be particularly useful for research investigation of nonlinear functional analysis and optimization…This book will stand as an important working text and reference and a significant guide for research students." (Mathematical Reviews)

"This book can be warmly recommended to everyone interested in functional analysis, and Banach space theory in particular. It serves also as a textbook in courses for students in probability, physics, or engineering. Graduate students and researchers surely will find a lot of material from the field, as well as a source of inspiration." (European Mathematical Society Newsletter, September, 2003)

"This is a substantial text containing an up-to-date exposition of functional analysis … . It will be particularly useful for research investigation of nonlinear functional analysis and optimization. … Each chapter ends with a remarkably weighty collection of exercises, many of which have useful hints at solutions appended to them … . the reader is directed throughout to the ample collection of references. The book will stand as an important working text and reference and a significant guide for research students." (John R. Giles, Mathematical Reviews, Issue 2002 f)

"The sextet of authors have done a superb job in marshalling and presenting their material: the writing is crisp and authoritative and they take full advantage of recent simplifications in the proofs of certain results. The fulsome, up-to-date bibliography is accompanied by a marvellous collection of nearly 700 exercises (with integrated hints): for both learners and lecturers, this rich source of material alone is worth more than the cost of the book. … I warmly commend this book … ." (Nick Lord, The Mathematical Gazette, Vol. 87 (509), 2003)

"This book, which contains a vast amount of material, is intended as an introduction to linear function analysis … . At the end of each chapter there is a wealth of beautiful applications and exercises … . I would highly recommend this book to anyone interested in the study of Banach spaces … . I think it would be fair to say that if one knew half of the material contained in this book, then one would know quite a lot." (Warren Moors, The Australian Mathematical Society Gazette, Vol. 29 (5), 2002)

"This book is based on graduate courses taught at the university of Alberta in Edmonton. It is intended as an introduction to linear functional analysis and to some parts of infinite-dimensional Banach space theory. It is full of facts, theorems, corollaries; along with a large number of exercises with detailed hints for their solution. … The authors have accomplished a text which is easily readable and as self-contained as possible. A very excellent book for the topics covered." (Joe Howard, Zentralblatt MATH, Vol. 981, 2002)

"By its organization, the book can be used as a textbook for various types of courses in functional analysis … . Besides classical material, the book contains also some recent and more specialized results … . The book contains a large number of exercises with detailed hints, completing the main text with many important results. The book is a valuable contribution to Banach space literature and can be used as a solid introduction to functional analysis … ." (Stefan Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. XLVII (2), 2002)

"The present book is … intended as an introduction to linear functional analysis … . Each chapter concludes with a separate section in which together nearly 700 exercises are listed. Almost all of them, as it seems, are supplemented with hints to their solution. The exercises are an important part of the general text, contain many important results and essentially complement the material in the chapters. … Altogether, the material presented is simply enormous and could fill with enthusiasm … ." (J. Synnatzschke, Zeitschrift für Analysis und ihre Anwendungen, Vol. 20 (4), 2001)


Table of contents (12 chapters)

  • Basic Concepts in Banach Spaces

    Fabian, Marián (et al.)

    Pages 1-35

  • Hahn—Banach and Banach Open Mapping Theorems

    Fabian, Marián (et al.)

    Pages 37-62

  • Weak Topologies

    Fabian, Marián (et al.)

    Pages 63-106

  • Locally Convex Spaces

    Fabian, Marián (et al.)

    Pages 107-136

  • Structure of Banach Spaces

    Fabian, Marián (et al.)

    Pages 137-159

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4757-3480-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-95219-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4419-2912-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Functional Analysis and Infinite-Dimensional Geometry
Authors
Series Title
CMS Books in Mathematics
Copyright
2001
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-3480-5
DOI
10.1007/978-1-4757-3480-5
Hardcover ISBN
978-0-387-95219-2
Softcover ISBN
978-1-4419-2912-9
Series ISSN
1613-5237
Edition Number
1
Number of Pages
IX, 451
Topics