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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Strictly singular non-compact operators on hereditarily indecomposable Banach spaces
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by I. Gasparis PDF
Proc. Amer. Math. Soc. 131 (2003), 1181-1189 Request permission

Abstract:

An example is given of a strictly singular non-compact operator on a Hereditarily Indecomposable, reflexive, asymptotic $\ell _1$ Banach space. The construction of this operator relies on the existence of transfinite $c_0$-spreading models in the dual of the space.
References
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Additional Information
  • I. Gasparis
  • Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-1058
  • Address at time of publication: Department of Mathematics, University of Crete, Knossou Avenue, P.O. Box 2208, Herakleion, Crete 71409, Greece
  • Email: ioagaspa@math.okstate.edu, ioagaspa@math.uch.gr
  • Received by editor(s): July 2, 2001
  • Received by editor(s) in revised form: November 14, 2001
  • Published electronically: July 26, 2002
  • Communicated by: N. Tomczak-Jaegermann
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 1181-1189
  • MSC (2000): Primary 46B03; Secondary 06A07, 03E02
  • DOI: https://doi.org/10.1090/S0002-9939-02-06657-1
  • MathSciNet review: 1948110