Browsing by Author "Leo, Nikita, juhendaja"
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Item Partial result on the plasticity of the unit ball of the l∞-sum of finitely many strictly convex Banach spaces(Tartu Ülikool, 2023) Kurik, Kaarel August; Haller, Rainis, juhendaja; Leo, Nikita, juhendaja; Tartu Ülikool. Matemaatika ja statistika instituut; Tartu Ülikool. Loodus- ja täppisteaduste valdkondThis 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.Item Plasticity of the unit ball of a strictly convex Banach space(Tartu Ülikool, 2022) Saad, Deivid; Haller, Rainis, juhendaja; Leo, Nikita, juhendaja; Tartu Ülikool. Matemaatika ja statistika instituut; Tartu Ülikool. Loodus- ja täppisteaduste valdkondThe aim of this thesis is to provide details for the proof of plasticity of the unit ball of a strictly convex Banach space presented by B. Cascales, V. Kadets, J. Orihuela, and E. J. Wingler in 2016.