Extreme contractions on finite-dimensional polygonal banach spaces. II

Ray, A and Roy, S and Bagchi, S and Sain, D (2020) Extreme contractions on finite-dimensional polygonal banach spaces. II. In: Journal of Operator Theory, 84 (1). pp. 127-137.

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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. © by THETA, 2020.

Item Type:	Journal Article
Publication:	Journal of Operator Theory
Publisher:	Theta Foundation
Additional Information:	Copy right for this article belongs to Theta Foundation
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	21 Oct 2020 07:28
Last Modified:	21 Oct 2020 07:28
URI:	http://eprints.iisc.ac.in/id/eprint/66169

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