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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A Banach space block finitely universal for monotone bases
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by E. Odell and Th. Schlumprecht PDF
Trans. Amer. Math. Soc. 352 (2000), 1859-1888 Request permission

Abstract:

A reflexive Banach space $X$ with a basis $(e_{i})$ is constructed having the property that every monotone basis is block finitely representable in each block basis of $X$.
References
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Additional Information
  • E. Odell
  • Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712-1082
  • Email: odell@math.utexas.edu
  • Th. Schlumprecht
  • Affiliation: Department of Mathematics, Texas A & M University, College Station, Texas 77843
  • MR Author ID: 260001
  • Email: thomas.schlumprecht@math.tamu.edu
  • Received by editor(s): May 24, 1996
  • Published electronically: October 29, 1999
  • Additional Notes: Research supported by NSF and TARP
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 1859-1888
  • MSC (1991): Primary 46B20; Secondary 46B15, 46B03
  • DOI: https://doi.org/10.1090/S0002-9947-99-02425-3
  • MathSciNet review: 1637094