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ℒ1 subspaces ofl 1

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Abstract

It is proved that every subspace ofl 1 which is an Λ1, λ space with λ close enough to 1 is isomorphic tol 1.

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References

  1. L. E. Dor,On projections in L 1, to appear.

  2. L. E. Dor and M. Zippin,Projections of L 1 onto finite dimensional subspaces, to appear in the Proceedings of the Conference on Random Series, Convex Sets and The Geometry of Banach Spaces, Aarhus, Denmark, October 1974.

  3. J. Lindenstrauss,On a certain subspace of l 1, Bull. Acad. Polon. Sci.12 (1964) 539–542.

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Authors and Affiliations

  1. The Ohio State University, Columbus, Ohio

    M. Zippin

  2. The Hebrew University of Jerusalem, Jerusalem, Israel

    M. Zippin

Authors
  1. M. Zippin
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Additional information

This research has been supported in part by the N.S.F. Grant GP 33578.

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Zippin, M. ℒ1 subspaces ofl 1 . Israel J. Math. 22, 110–117 (1975). https://doi.org/10.1007/BF02760159

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  • DOI: https://doi.org/10.1007/BF02760159

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