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Smoothness in spaces of compact operators
Published online by Cambridge University Press: 17 April 2009
Abstract
We prove that if X and Y are two (real) Banach spaces such that dim X ≥ 2 and dim Y ≥ 2, then the space K(X, Y) contains a convex compact subset C with dim C ≥ 2 (in the affine sense) which fails to be an intersection of balls. This improves two results of Ruess and Stegall.
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- Research Article
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- Copyright © Australian Mathematical Society 1988
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