The cotype constant and an almost euclidean decomposition for finite-dimensional normed spaces |
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| Authors: | Stephen Dilworth Stanislaw Szarek |
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| Institution: | (1) Department of Mathematics, University of Missouri - Columbia, 65211 Columbia, MO, USA;(2) Department of Mathematics, Case Western Reserve University, 44106 Cleveland, OH, USA |
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| Abstract: | Every 2n-dimensional normed spaceE contains twon-dimensional subspacesE
1 andE
2 which are orthogonal with respect to the inner product induced by the John ellipsoid ofE and which satisfyd(E
i, l
2
n
)≦f(K
2(E)), wheref(K
2(E)) is some number that depends only on the cotype constant ofE, denotedK
2(E).
Supported in part by NSF grant DMS 8401906. |
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| Keywords: | |
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