Download Open Problems in the Geometry and Analysis of Banach Spaces by Antonio J. Guirao,Vicente Montesinos,Václav Zizler PDF

By Antonio J. Guirao,Vicente Montesinos,Václav Zizler

This is an selection of a few easily-formulated difficulties that stay open within the learn of the geometry and research of Banach areas. Assuming the reader has a operating familiarity with the elemental result of Banach area idea, the authors concentrate on thoughts of simple linear geometry, convexity, approximation, optimization, differentiability, renormings, vulnerable compact producing, Schauder bases and biorthogonal platforms, mounted issues, topology and nonlinear geometry.
The major goal of this paintings is to aid in convincing younger researchers in practical research that the idea of Banach areas is a fertile box of analysis, jam-packed with attention-grabbing open difficulties. contained in the Banach house quarter, the textual content can help you divulge younger researchers to the intensity and breadth of the paintings that is still, and to supply the point of view essential to decide upon a course for extra study.

Some of the issues are longstanding open difficulties, a few are contemporary, a few are extra very important and a few are just neighborhood difficulties. a few will require new principles, a few could be resolved with just a sophisticated blend of recognized evidence. despite their starting place or toughness, each one of those difficulties files the necessity for extra examine during this area.

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