Open Problems in the Geometry and Analysis of Banach Spaces

• Main Authors: Guirao, Antonio J. (Author), Montesinos, Vicente (Author), Zizler, Václav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Subjects: Mathematics.; Approximation theory.; Functional analysis.; Measure theory.; Convex geometry.; Discrete geometry.; Algebraic topology.; Functional Analysis.; Approximations and Expansions.; Measure and Integration.; Convex and Discrete Geometry.; Algebraic Topology.

This is a collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approxi...

Table of Contents:

• Preface
• Basic linear structure
• Basic linear geometry
• Biorthogonal systems
• Smoothness, smooth approximation
• Nonlinear geometry
• Some more nonseparable problems
• Some applications
• Bibliography
• List of concepts and problems
• Symbol index
• Subject index. .