A Nonlinear Transfer Technique for Renorming

• Main Authors: Moltó, Aníbal (Author), Orihuela, José (Author), Troyanski, Stanimir (Author), Valdivia, Manuel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
• Series: Lecture Notes in Mathematics, 1951
• Subjects: Mathematics.; Functional analysis.; Differential geometry.; Differential Geometry.; Functional Analysis.

Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems, all of them based on a network analysis for the topologies involved inside the problem....

Table of Contents:

• ?-Continuous and Co-?-continuous Maps
• Generalized Metric Spaces and Locally Uniformly Rotund Renormings
• ?-Slicely Continuous Maps
• Some Applications
• Some Open Problems.