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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 the topological boundary of semi-Fredholm operators
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by Haïkel Skhiri PDF
Proc. Amer. Math. Soc. 126 (1998), 1381-1389 Request permission

Abstract:

We prove several distance formulas from a fixed operator in $B(H)$ to some classes of operators connected with the semi-Fredholm ones. Here $H$ is a separable Hilbert space. In particular, Fredholm and upper and lower semi-Fredholm operators have the same boundary in $B(H)$.
References
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Additional Information
  • Haïkel Skhiri
  • Affiliation: Département de Mathématiques, Bât. M2, Université de Lille I, F–59655 Villeneuve d’Ascq, France
  • Email: skhiri@gat.univ-lille1.fr
  • Received by editor(s): April 30, 1996
  • Received by editor(s) in revised form: October 14, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1381-1389
  • MSC (1991): Primary 47A53; Secondary 47A55
  • DOI: https://doi.org/10.1090/S0002-9939-98-04262-2
  • MathSciNet review: 1443858