Open Problems in the Geometry and Analysis of Banach Spaces

Antonio J. Guirao, Vicente Montesinos, Václav Zizler

$306.95 $245.59

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer International Publishing AG
22 April 2018

Calculus & mathematical analysis; Functional analysis & transforms; Analytic geometry; Topology

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry. The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study.

Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.

By: Antonio J. Guirao, Vicente Montesinos, Václav Zizler
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Softcover reprint of the original 1st ed. 2016
Dimensions: Height: 235mm, Width: 155mm, Spine: 10mm
Weight: 2.876kg
ISBN: 9783319815510
ISBN 10: 3319815512
Pages: 169
Publication Date: 22 April 2018
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface.- Basic linear structure.- Basic linear geometry.- Biorthogonal systems.- Smoothness, smooth approximation.- Nonlinear geometry.- Some more nonseparable problems.- Some applications.- Bibliography.- List of concepts and problems.- Symbol index.- Subject index.

Reviews for Open Problems in the Geometry and Analysis of Banach Spaces

“In every field of mathematics there are monographs describing the present knowledge in that area. … the book under review does exactly this for the theory of Banach spaces. … At the end of the book there are an extended and very useful subject index and an alphabetical list of concepts and problems that help the reader to locate problems involving a particular topic. … attractive to researchers in Banach space theory and to prospective PhD students in this field.” (Dirk Werner, zbMATH 1351.46001, 2017) “The book is very well organized - every problem is preceded by an introductory part containing the notions and previous results necessary for its understanding, as well as references to significant papers or books containing partial solutions or related results. … All in all, the authors produced a marvelous piece of mathematical writing of great use for researchers in various fields of functional and mathematical analysis as well as for young graduate or PhD students.” (S. Cobzaş, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 61 (4), 2016)