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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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On complemented subspaces of sums and products of Banach spaces
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by M. I. Ostrovskii PDF
Proc. Amer. Math. Soc. 124 (1996), 2005-2012 Request permission

Abstract:

It is proved that there exist complemented subspaces of countable topological products (locally convex direct sums) of Banach spaces which cannot be represented as topological products (locally convex direct sums) of Banach spaces.
References
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Additional Information
  • M. I. Ostrovskii
  • Affiliation: Mathematical Division, Institute for Low Temperature Physics and Engineering, 47 Lenin avenue, 310164 Kharkov, Ukraine
  • MR Author ID: 211545
  • Email: mostrovskii@ilt.kharkov.ua
  • Received by editor(s): October 26, 1993
  • Received by editor(s) in revised form: December 1, 1994
  • Communicated by: Dale Alspach
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2005-2012
  • MSC (1991): Primary 46A04, 46A13; Secondary 47B99
  • DOI: https://doi.org/10.1090/S0002-9939-96-03413-2
  • MathSciNet review: 1328368