This is an announcement for the paper "Some problems in functional analysis inspired by Hahn Banach type theorems" by M. A. Sofi.
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.
Archive classification: math.FA
Mathematics Subject Classification: 46B20, 47B10, 46G10
Remarks: 29 pages, 0 figures, accepted in Ann. Func. Anal
Submitted from: aminsofi@kashmiruniversity.ac.in
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1310.3382
or