Banach ideals of operators with applications to the finite dimensional structure of Banach spaces |
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| Authors: | Y Gordon D R Lewis J R Retherford |
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| Institution: | (1) Louisiana State University, Baton Rouge, Louisiana;(2) University of Florida, Gainesville, Florida |
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| Abstract: | We present a few applications of the theory of Banach ideals of operators. In particular, we give operator characterizations
of the ℒ
p
spaces, compute the relative projection constant of isometric embeddings of Hilbert spaces inL
p
-spaces, and show that Π1 (E, F), the space of absolutely summing operators, is reflexive ifE andF are reflexive andE has the approximation property.
Research supported by NSF-GP-34193
Research supported by NSF-Science Development Grant |
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| Keywords: | |
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