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arXiv · 1902.06917

Extreme contractions on finite-dimensional polygonal Banach spaces-II

Anubhab Ray·Saikat Roy·Satya Bagchi·Debmalya Sain
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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.

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Anubhab Ray, Saikat Roy, Satya Bagchi, Debmalya Sain. 2019-02-19. Extreme contractions on finite-dimensional polygonal Banach spaces-II. https://arxiv.org/abs/1902.06917

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