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Seven views on approximate convexity and the geometry of K-spaces

Felix Cabello Sanchez·Jesus M. F. Castillo·Pier Luigi Papini
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Abstract

As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of $K$-spaces although in some of the seven views presented $K$-spaces are not easily visible. We study the interplay between the behaviour of approximately convex (and approximately affine) functions on the unit ball of a Banach space and the geometry of Banach K-spaces.

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Felix Cabello Sanchez, Jesus M. F. Castillo, Pier Luigi Papini. 2005-05-13. Seven views on approximate convexity and the geometry of K-spaces. https://arxiv.org/abs/math/0505291

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