Seven views on approximate convexity and the geometry of K-spaces
Functional Analysis
2007-05-23 v1
Abstract
As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of -spaces although in some of the seven views presented -spaces are not easily visible. We study the interplay between the behaviour of approximately convex (and approximately affine) functions on the unit ball of a Banach space and the geometry of Banach K-spaces.
Cite
@article{arxiv.math/0505291,
title = {Seven views on approximate convexity and the geometry of K-spaces},
author = {Felix Cabello Sanchez and Jesus M. F. Castillo and Pier Luigi Papini},
journal= {arXiv preprint arXiv:math/0505291},
year = {2007}
}
Comments
2 figures