Four Non-linear Problems on Normed Spaces: Volume I

 
9783639101829: Four Non-linear Problems on Normed Spaces: Volume I
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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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About the Author:

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.

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Book Description 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. Seller Inventory # K9783639101829

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Book Description VDM Verlag, Germany, 2008. Paperback. Condition: New. 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. Seller Inventory # AAV9783639101829

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Book Description VDM Verlag. Paperback. Condition: New. 112 pages. Dimensions: 8.7in. x 5.9in. x 0.3in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783639101829

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