Open Problems in the Geometry and Analysis of Banach Spaces

Autor: ANTONIO J. GUIRAO

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele

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2 058 Kč

This is an collection of some easily-formulated problems that remain open in the study of the geomet...

Informace o knize

Autor

ANTONIO J. GUIRAO

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2018

Stránek

169

EAN

9783319815510

ISBN

9783319815510

Enbook ID

19415732

Vydavatel

Springer International Publishing AG

Hmotnost

2876

Rozměry

155 x 235 x 11

Kompletní popis

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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Open Problems in the Geometry and Analysis of Banach Spaces

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Kompletní popis

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