Functional Analysis and Infinite-Dimensional Geometry
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Functional Analysis and Infinite-Dimensional Geometry

Functional Analysis and Infinite-Dimensional Geometry


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About the Book

This book introduces the reader to the basic principles of functional analysis theory that are close to nonlinear analysis and topology. The presentation is self-contained, including many folklore results, and the proofs are accessible to students with the usual background in real analysis and topology. Several results are published here for the first time in a monograph. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints. The book is also directed to young researchers in functional analysis and can serve as a reference book, to areas of Banach space.

Review :
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 l


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Product Details
  • ISBN-13: 9781475734812
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • Weight: 698 gr
  • ISBN-10: 1475734816
  • Publisher Date: 15 Jan 2014
  • Binding: Paperback
  • Spine Width: 24 mm
  • Width: 156 mm


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