Symmetric block bases in finite-dimensional normed spaces |
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| Authors: | W T Gowers |
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| Institution: | (1) Department of Pure Mathematics and Mathematical Statistics, 16 Mill Lane, CB2 1SD Cambridge, England |
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| Abstract: | It is shown that for 1 ≦p < ∞, any basisC-equivalent to the unit vector basis ofl
p
n
has a (1 + ε)-symmetric block basis of cardinality proportional ton/logn. When 1 <p < ∞, an upper bound proportional ton log logn/logn is also obtained. These results extend results of Amir and Milman in 2]. |
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