Linear extensions, almost isometries, and diameter two

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Linear extensions, almost isometries, and diameter two

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Title: Linear extensions, almost isometries, and diameter two
Author: Abrahamsen, Trond A.
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.
URI: http://hdl.handle.net/10662/9019
Date: 2015


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