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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

On the topological boundary of semi-Fredholm operators

Author(s): Haïkel Skhiri
Journal: Proc. Amer. Math. Soc. 126 (1998), 1381-1389.
MSC (1991): Primary 47A53; Secondary 47A55
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Abstract | References | Similar articles | Additional information

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 $B(H)$.


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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

DOI: 10.1090/S0002-9939-98-04262-2
PII: S 0002-9939(98)04262-2
Keywords: Hilbert space operators, semi-Fredholm operators, distance formulas
Received by editor(s): April 30, 1996
Received by editor(s) in revised form: October 14, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society


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