Four Non-linear Problems on Normed Spaces - Volume I (Paperback) (ISBN-13: 9783639101829)

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.

Author: Francisco Garcia Pacheco
ISBN-10: 3639101820
ISBN-13: 9783639101829
Publisher: VDM Verlag
Language: English
Published: 12/29/2008
Pages: 112
Format: Paperback
Weight: 0.35lbs
Size: 9.00h x 6.00w x 0.23d