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Title: Linear extensions, almost isometries, and diameter two
Authors: Abrahamsen, Trond A.
Keywords: Almost isometric ideal;Diameter 2 property;Daugavet property;Octahedral space;Almost square space;Ideal casi isométrico;Propiedad del diámetro 2;Propiedad de Daugavet;Espacio octaédrico;Espacio casi cuadrado
Issue Date: 2015
Publisher: Universidad de Extremadura
Abstract: Heinrich, Mankiewicz, Sims, and Yost proved that every separable subspace of a Banach space Y is contained in a separable ideal in Y . We improve this result by replacing the term "ideal" with the term "almost isometric ideal". As a consequence of this we obtain, in terms of subspaces, characterizations of diameter 2 properties, the Daugavet property along with the properties of being an almost square space and an octahedral space.
Appears in Collections:Extracta Mathematicae Vol. 30, nº 2 (2015)

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