Partial result on the plasticity of the unit ball of the l∞-sum of finitely many strictly convex Banach spaces
Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tartu Ülikool
Abstract
This thesis presents a generalization of a lemma appearing in Nikita Leo’s proof of the plasticity of the closed unit ball of the l∞-sum of two strictly convex Banach spaces. The generalization is then used to show a property related to but weaker than plasticity for the closed unit ball of the l∞-sum of finitely many strictly convex Banach spaces. Two additional results related to the plasticity of closed balls in Banach spaces are also proved.
Description
Keywords
rangelt kumerad Banachi ruumid, plastilisus