Closure of invertible operators on a Hilbert space-Reference-Cited by-同舟云学术

Closure of invertible operators on a Hilbert space

Published:1990 Issue:3 Volume:108 Page:721-726
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bouldin Richard

Abstract

Although most of the characterizations of the closure of the invertible operators on a separable Hilbert space do not extend to a nonseparable Hilbert space, this note gives a characterization for an arbitrary Hilbert space that generalizes the separable case in a natural way. The new concept of essential nullity, which facilitates this characterization, should find other applications.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1990-108-03/S0002-9939-1990-1000147-9/S0002-9939-1990-1000147-9.pdf

Reference8 articles.

1. On relatively regular operators;Atkinson, F. V.;Acta Sci. Math. (Szeged),1953

2. The norm continuity properties of square roots;Bouldin, Richard;SIAM J. Math. Anal.,1972

3. The essential minimum modulus;Bouldin, Richard;Indiana Univ. Math. J.,1981

4. The closure of the regular operators in a ring of operators;Feldman, Jacob;Proc. Amer. Math. Soc.,1954

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