Four Non-linear Problems on Normed Spaces: Volume I - Softcover

Garcia Pacheco, Francisco

Softcover

ISBN 10: 3639101820 ISBN 13: 9783639101829

Verlag: VDM Verlag Dr. Müller, 2008

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: VDM Verlag Dr. Müller
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3639101820
• ISBN 13: 9783639101829
• Einband: Taschenbuch
• Anzahl der Seiten: 112
• Kontakt zum Hersteller: Fromm; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland