J Austral Math Soc Ser A 52 pp251--260, 1992.

On Strongly Stable Approximations

M. Thamban Nair

(Received 4 April 1990)

Abstract

Ahues (1987) and Bouldin (1990) have given sufficient conditions for the strong stability of a sequence (T_n) of operators at an isolated eigenvalue of an operator T. This paper provides a unified treatment of their results and also generalizes so as to facilitate their application to a broad class of operators.

1991 AMS Subject Classification: 47A99, 47B35, 41A35

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Authors

M. Thamban Nair: Goa University, Goa-403 202, India.

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Last Modified: Mon Feb 3 9:46:11 2003