Partial result on the plasticity of the unit ball of the l∞-sum of finitely many strictly convex Banach spaces

Haller, Rainis, juhendajaLeo, Nikita, juhendajaKurik, Kaarel AugustTartu Ülikool. Matemaatika ja statistika instituutTartu Ülikool. Loodus- ja täppisteaduste valdkond2023-07-032023-07-032023https://hdl.handle.net/10062/91231This 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.engopenAccessAttribution-NonCommercial-NoDerivatives 4.0 Internationalrangelt kumerad Banachi ruumidplastilisusbakalaureusetöödvõrguväljaandedBanachi ruumidmittelineaarsed operaatoridnonlinear operatorsfunktsionaalanalüüsfunctional analysisBanach spacesPartial result on the plasticity of the unit ball of the l∞-sum of finitely many strictly convex Banach spacesThesis