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Four Non-linear Problems on Normed Spaces - Volume I

Four Non-linear Problems on Normed Spaces - Volume I

Francisco Garcia Pacheco

60,52 €
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Editorial:
KS OmniScriptum Publishing
Año de edición:
2008
Materia
Matemáticas
ISBN:
9783639101829
60,52 €
IVA incluido
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Sobre IBD

This book deals with the following open problems: The Lineability Problem for Functionals (Aron and Gurariy, 2004); The Nowhere Density Problem for Functionals (Enflo, 2005); The Minimum-Norm Problem for Translations (Aizpuru and García-Pacheco, 2003); The Banach-Mazur Conjecture for Rotations (Banach and Mazur, 1932). The first problem is on the linear structure of the set of norm-attaining functionals on a Banach space (it also considers the linear structure of the set of non-norm-attaining functionals). The second problem is on the topological structure of the set of norm-attaining functionals on a Banach space (it also considers the topological structure of the set of non-norm-attaining functionals). The third problem deals with the non-linear metric structure of translates of convex sets. Finally, the last problem deals with the isometric structure of the unit ball of a Banach space.

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