Francisco Garcia Pacheco

Four Non-linear Problems on Normed Spaces

Volume I

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: VDM Verlag Dr. Müller
• Seitenzahl: 112
• Englisch
• Gewicht: 162g
• ISBN-13: 9783639101829
• ISBN-10: 3639101820
• Artikelnr.: 25700610

Autorenporträt

Francisco García is a Visiting Assistant Professor in mathematics
at Texas A&M Univ. He has a doctorate in mathematics from Kent
State Univ., USA. He also has a doctorate in mathematics from the
University of Cádiz, EU. His dissertation (awarded as outstanding
by Kent State Univ.) was on three of the four open problems
covered in this book.