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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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FK-multiplier spaces
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by D. J. Fleming and J. C. Magee PDF
Proc. Amer. Math. Soc. 125 (1997), 175-181 Request permission

Abstract:

In 1992 Grosse-Erdmann posed the problem of characterizing those FK-spaces containing the finitely nonzero sequences whose $\beta$-duals are themselves FK. Here we consider the more general problem of characterizing FK-spaces containing the finitely nonzero sequences with the property that the multipliers into a BK-sum space admit an FK-topology.
References
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Additional Information
  • D. J. Fleming
  • Affiliation: Department of Mathematics, St. Lawrence University, Canton, New York 13617
  • J. C. Magee
  • Affiliation: Department of Mathematics, SUNY at Potsdam, Potsdam, New York 13676
  • Received by editor(s): June 24, 1995
  • Received by editor(s) in revised form: July 7, 1995
  • Communicated by: Dale Alspach
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 175-181
  • MSC (1991): Primary 46A45
  • DOI: https://doi.org/10.1090/S0002-9939-97-03620-4
  • MathSciNet review: 1353384