Open problems in the geometry and analysis of banach spaces [electronic resource] / Antonio J. Guirao, Vicente Montesinos, Václav Zizler.
Guirao, Antonio J. author.; Montesinos, Vicente, author.; Zizler, Vaclav, author.
2016
QA322.2
Available Online

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Title Open problems in the geometry and analysis of banach spaces [electronic resource] / Antonio J. Guirao, Vicente Montesinos, Václav Zizler.
Author Guirao, Antonio J. author.
ISBN 9783319335728 (electronic book)
3319335723 (electronic book)
9783319335711
DOI https://doi.org/10.1007/978-3-319-33572-8
Published Switzerland : Springer, 2016.
Language English
Description 1 online resource (xii, 169 pages) : illustrations
Item Number 10.1007/978-3-319-33572-8 doi
Call Number QA322.2
Dewey Decimal Classification 515/.732
Summary This is a 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 convince 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 presented herein are longstanding open problems, some are recent, some are more important and some are only "local" problems. Some would require new ideas, while others 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 9, 2016).
Added Author Montesinos, Vicente, author.
Zizler, Vaclav, author.
Available in Other Form Print version: 9783319335711
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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. .

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