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© 2001

Functional Analysis and Infinite-Dimensional Geometry

Textbook
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Table of contents

  1. Front Matter
    Pages i-ix
  2. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 1-35
  3. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 37-62
  4. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 63-106
  5. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 107-136
  6. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 137-159
  7. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 161-201
  8. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 203-240
  9. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 241-284
  10. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 285-312
  11. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 313-356
  12. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 357-385
  13. Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler
    Pages 387-429
  14. Back Matter
    Pages 431-451

About this book

Keywords

Banach Space Compact operator Convexity Operator theory Smooth function calculus compactness functional analysis

Authors and affiliations

  1. 1.Mathematical InstituteCzech Academy of SciencesPrague 1Czech Republic
  2. 2.Department of Mathematics, Faculty of Electrical EngineeringCzech Technical UniversityPrague 6Czech Republic
  3. 3.Department of Applied Mathematics, Telecommunication Engineering FacultyPolytechnic University of ValenciaValenciaSpain
  4. 4.Department of MathematicsUniversity of AlbertaEdmontonCanada

Bibliographic information

  • Book Title Functional Analysis and Infinite-Dimensional Geometry
  • Authors Marian Fabian
    Petr Habala
    Petr Hajek
    Vicente Montesinos Santalucia
    Jan Pelant
    Vaclav Zizler
  • Series Title Canadian Mathematical Society / Société mathématique du Canada
  • DOI https://doi.org/10.1007/978-1-4757-3480-5
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-95219-2
  • Softcover ISBN 978-1-4419-2912-9
  • eBook ISBN 978-1-4757-3480-5
  • Series ISSN 1613-5237
  • Edition Number 1
  • Number of Pages IX, 451
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site
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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)