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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Weak sequential completeness in spaces of operators


Author: J. M. Baker
Journal: Proc. Amer. Math. Soc. 25 (1970), 193-198
MSC: Primary 46.10
DOI: https://doi.org/10.1090/S0002-9939-1970-0257707-X
MathSciNet review: 0257707
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References [Enhancements On Off] (What's this?)

  • J. Dixmier, Sur un théorème de Banach, Duke Math. J. 15 (1948), 1057–1071 (French). MR 27440
  • Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers, Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
  • M. Levin and S. Saxon, A note on the inheritance properties of locally convex spaces by subspaces of countable codimension, Florida State University, Tallahassee, 1968 (unpublished).
  • R. D. McWilliams, On certain Banach spaces which are $w^{\ast } $-sequentially dense in their second duals, Duke Math. J. 37 (1970), 121–126. MR 259570
  • Helmut H. Schaefer, Topological vector spaces, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1966. MR 0193469
  • Robert Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, No. 26, Princeton University Press, Princeton, N. J., 1950. MR 0036935

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Article copyright: © Copyright 1970 American Mathematical Society