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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Almost open mappings between normed spaces
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by Robin Harte
Proc. Amer. Math. Soc. 90 (1984), 243-249
DOI: https://doi.org/10.1090/S0002-9939-1984-0727242-0
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Abstract:

The almost open bounded linear operators between two normed spaces form an open set whose topological boundary is disjoint from the operators which are bounded below.
References
  • R. E. Harte, Berberian-Quigley and the ghost of a spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 78 (1978), no. 9, 63–68. MR 511397
  • Albert Wilansky, Modern methods in topological vector spaces, McGraw-Hill International Book Co., New York, 1978. MR 518316
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Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 243-249
  • MSC: Primary 47A99; Secondary 46B99, 47A55
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0727242-0
  • MathSciNet review: 727242