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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)

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Copies of $c_0$ and $\ell _\infty$ in topological Riesz spaces$
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by Lech Drewnowski and Iwo Labuda PDF
Trans. Amer. Math. Soc. 350 (1998), 3555-3570 Request permission

Abstract:

The paper is concerned with order-topological characterizations of topological Riesz spaces, in particular spaces of measurable functions, not containing Riesz isomorphic or linearly homeomorphic copies of $c_{0}$ or $\ell _{\infty }$.
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Additional Information
  • Lech Drewnowski
  • Affiliation: Faculty of Mathematics and Computer Science, A.  Mickiewicz University, Matejki 48/49, 60–769 Poznań, Poland
  • Email: drewlech@math.amu.edu.pl
  • Iwo Labuda
  • Affiliation: Department of Mathematics, University of Mississippi, University, Missouri 38677
  • Email: mmlabuda@vm.cc.olemiss.edu
  • Received by editor(s): September 9, 1996
  • Additional Notes: The paper was written while the first author held a visiting position in the Department of Mathematics, University of Mississippi, in the Spring and Fall Semesters of 1996. He was also partially supported by the State Committee for Scientific Research (Poland), grant no 2 P301 003 07.
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 3555-3570
  • MSC (1991): Primary 46A40, 46E30, 46B42, 28B05, 40A99
  • DOI: https://doi.org/10.1090/S0002-9947-98-02157-6
  • MathSciNet review: 1466947