Computing summing norms and type constants on few vectors
S. Szarek (1991)
Studia Mathematica
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Displaying similar documents to “Some estimates for type and cotype constants”
Computing summing norms and type constants on few vectors
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Ideals of finite rank operators, intersection properties of balls, and the approximation property
Åsvald Lima, Eve Oja (1999)
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We characterize the approximation property of Banach spaces and their dual spaces by the position of finite rank operators in the space of compact operators. In particular, we show that a Banach space E has the approximation property if and only if for all closed subspaces F of , the space ℱ(F,E) of finite rank operators from F to E has the n-intersection property in the corresponding space K(F,E) of compact operators for all n, or equivalently, ℱ(F,E) is an ideal in K(F,E). ...
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