Some problems in functional analysis inspired by Hahn Banach type theorems

Abstract

As a cornerstone of functional analysis, Hahn Banach theorem constitutes an indispensable tool of modern analysis where its impact extends beyond the frontiers of linear functional analysis into several other domains of mathematics, including complex analysis, partial differential equations and ergodic theory besides many more. The paper is an attempt to draw attention to certain applications of the Hahn Banach theorem which are less familiar to the mathematical community, apart from highlighting certain aspects of the Hahn Banach phenomena which have spurred intense research activity over the past few years, especially involving operator analogues and nonlinear variants of this theorem.

29 pages, 0 figures, accepted in Ann. Func. Anal

References in corpus (2)

• The solution to the Maurey extension problem for Banach spaces with the Gordon Lewis property and related structures
• A Generalization of The Markov-Kakutani Fixed Point Theorem