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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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Complemented subspaces of products of Banach spaces
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by Alex Chigogidze PDF
Proc. Amer. Math. Soc. 129 (2001), 2959-2963 Request permission

Abstract:

We show that complemented subspaces of uncountable products of Banach spaces are products of complemented subspaces of countable subproducts.
References
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Additional Information
  • Alex Chigogidze
  • Affiliation: Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6
  • Email: chigogid@math.usask.ca
  • Received by editor(s): February 16, 2000
  • Published electronically: March 29, 2001
  • Additional Notes: The author was partially supported by an NSERC research grant.
  • Communicated by: Nicole Tomczak-Jaegermann
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2959-2963
  • MSC (1991): Primary 46A03, 46M10; Secondary 46A13
  • DOI: https://doi.org/10.1090/S0002-9939-01-06054-3
  • MathSciNet review: 1840100