Extreme contractions on finite-dimensional polygonal Banach spaces-II
Functional Analysis
2019-02-20 v1
Abstract
We introduce the concept of weak L-P property for a pair of Banach spaces, in the study of extreme contractions. We give examples of pairs of Banach spaces (not) satisfying weak L-P property and apply the concept to compute the exact number of extreme contractions between a particular pair of polygonal Banach spaces. We also study the optimality of our results on the newly introduced weak L-P property for a pair of Banach spaces, by considering appropriate examples.
Cite
@article{arxiv.1902.06917,
title = {Extreme contractions on finite-dimensional polygonal Banach spaces-II},
author = {Anubhab Ray and Saikat Roy and Satya Bagchi and Debmalya Sain},
journal= {arXiv preprint arXiv:1902.06917},
year = {2019}
}
Comments
12 pages