Israel Journal of Mathematics

, Volume 70, Issue 2, pp 188–204 | Cite as

A superreflexive Banach space with a finite dimensional decomposition so that no large subspace has a basis

  • P. Mankiewicz
  • N. J. Nielsen
Article
Received:
Revised:

Abstract

The main result of the present paper is the construction of a Banach space with finite dimensional decomposition in which no large subspace has a basis. This answers a question raised by P. Casazza. The paper also contains various results on subspaces of direct sums of spaces and an investigation of spaces closely related to spaces constructed by the first named author.

Keywords

Banach Space Natural Projection Separable Banach Space Space Decomposition Holomorphic Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Hebrew University 1990

Authors and Affiliations

  • P. Mankiewicz
    • 1
    • 2
  • N. J. Nielsen
    • 3
  1. 1.Matematisk InstitutOdense UniversitetOdense MDenmark
  2. 2.Instytut Matematyczny, PANWarszawaPoland
  3. 3.Matematisk InstitutOdense UniversitetOdense MDenmark

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