Garcia Pacheco, Francisco
Four Non-linear Problems on Normed Spaces: Volume I
# 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.

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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.

*"About this title" may belong to another edition of this title.*

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**Book Description **Book Condition: New. Publisher/Verlag: VDM Verlag Dr. Müller | Volume I | This book deals with the following open problems: TheLineability Problem for Functionals (Aron andGurariy, 2004); The Nowhere Density Problem forFunctionals (Enflo, 2005); The Minimum-Norm Problemfor Translations (Aizpuru and García-Pacheco, 2003);The Banach-Mazur Conjecture for Rotations (Banach andMazur, 1932). The first problem is on the linearstructure of the set of norm-attaining functionals ona Banach space (it also considers the linearstructure of the set of non-norm-attainingfunctionals). The second problem is on thetopological structure of the set of norm-attainingfunctionals on a Banach space (it also considers thetopological structure of the set ofnon-norm-attaining functionals). The third problemdeals with the non-linear metric structure oftranslates of convex sets. Finally, the last problemdeals with the isometric structure of the unit ballof a Banach space. | Format: Paperback | Language/Sprache: english | 162 gr | 112 pp. Bookseller Inventory # K9783639101829

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**Book Description **VDM Verlag, Germany, 2008. Paperback. Book Condition: New. 220 x 150 mm. Language: English . Brand New Book ***** Print on Demand *****.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 Garca-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. Bookseller Inventory # AAV9783639101829

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**Book Description **VDM Verlag Dez 2008, 2008. Taschenbuch. Book Condition: Neu. 220x150x7 mm. Neuware - 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. 112 pp. Englisch. Bookseller Inventory # 9783639101829

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**Book Description **VDM Verlag Dez 2008, 2008. Taschenbuch. Book Condition: Neu. 220x150x7 mm. Neuware - 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. 112 pp. Englisch. Bookseller Inventory # 9783639101829

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**Book Description **VDM Verlag Dez 2008, 2008. Taschenbuch. Book Condition: Neu. 220x150x7 mm. This item is printed on demand - Print on Demand Neuware - This book deals with the following open problems: The 112 pp. Englisch. Bookseller Inventory # 9783639101829

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**Book Description **VDM Verlag Dr. Müller, 2008. Paperback. Book Condition: New. This item is printed on demand. Bookseller Inventory # DADAX3639101820

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