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Banach spaces without local unconditional structure

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An Erratum to this article was published on 01 December 1998

Abstract

For a large class of Banach spaces, a general construction of subspaces without local unconditional structure is presented. As an application it is shown that every Banach space of finite cotype contains eitherl 2 or a subspace without unconditional basis, which admits a Schauder basis. Some other interesting applications and corollaries follow.

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Authors and Affiliations

  1. Institute of Mathematics, Technical University, Wrocław, Poland

    Ryszard A. Komorowski & Nicole Tomczak-Jaegermann

  2. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    Ryszard A. Komorowski & Nicole Tomczak-Jaegermann

Authors
  1. Ryszard A. Komorowski
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  2. Nicole Tomczak-Jaegermann
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Corresponding author

Correspondence to Ryszard A. Komorowski.

Additional information

The contribution of this author is a part of his Ph.D. Thesis written at the University of Alberta under the supervision of the second author.

An erratum to this article is available at http://dx.doi.org/10.1007/BF02780323.

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Komorowski, R.A., Tomczak-Jaegermann, N. Banach spaces without local unconditional structure. Israel J. Math. 89, 205–226 (1995). https://doi.org/10.1007/BF02808201

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  • DOI: https://doi.org/10.1007/BF02808201

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