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Four Non-linear Problems on Normed Spaces: Volume I
Francisco Garcia Pacheco
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Four Non-linear Problems on Normed Spaces: Volume I
Francisco Garcia Pacheco
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.
Medien | Bücher Taschenbuch (Buch mit Softcover und geklebtem Rücken) |
Erscheinungsdatum | 29. Dezember 2008 |
ISBN13 | 9783639101829 |
Verlag | VDM Verlag Dr. Müller |
Seitenanzahl | 112 |
Maße | 158 g |
Sprache | Englisch |
Alle Titel von Francisco Garcia Pacheco ansehen ( u. a. Taschenbuch )