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Open Problems in the Geometry and Analysis of Banach Spaces

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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.

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Detail Information

Series Title

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Call Number

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Publisher

Switzerland : Springer Cham., 2016

Collation

XII, 169

Language

English

ISBN/ISSN

978-3-319-33571-1

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Functional Analysis
Algebraic Topology
Convex and Discrete Geometry
Measure and Integration

Specific Detail Info

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Statement of Responsibility

Václav Zizler

Other Information

Cataloger

Devi

Source

-

Validator

Taufik

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