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Remarks on James's distortion theorems

Published online by Cambridge University Press:  17 April 2009

Patrick N. Dowling ,
Narcisse Randrianantoanina  and
Barry Turett
Patrick N. Dowling
Affiliation:
Department of Mathematics and StatisticsMiami UniversityOxford OH 45056United States of America e-mail: dowlinpn@muohio.edu
Narcisse Randrianantoanina
Affiliation:
Department of Mathematics and StatisticsMiami UniversityOxford OH 45056United States of America e-mail: randrin@muohio.edu
Barry Turett
Affiliation:
Department of Mathematical SciencesOakland UniversityRochester MI 48309United States of Americaturett@vela.acs.oaklad.edu
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Abstract

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If a Banach space X contains a complemented subspace isomorphic to c0 (respectively, ℓ1), then X contains complemented almost isometric copies of c0 (respectively, ℓ1). If a Banach space X is such that X* contains a subspace isomorphic to L1[0, 1] (respectively, ℓ∞), then X* contains almost isometric copies of L1[0, 1] (respectively, ℓ∞).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 1 , February 1998 , pp. 49 - 54
Copyright
Copyright © Australian Mathematical Society 1998

References

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