That quasinilpotent operators are norm-limits of nilpotent operators revisited-Reference-Cited by-同舟云学术

That quasinilpotent operators are norm-limits of nilpotent operators revisited

Published:1979 Issue:1 Volume:73 Page:61-64
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Apostol C.,Foiaş C.,Pearcy C.

Abstract

A new short proof is given that every quasinilpotent operator on a separable, infinite dimensional, complex Hilbert space is a norm-limit of nilpotent operators.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1979-073-01/S0002-9939-1979-0512059-0/S0002-9939-1979-0512059-0.pdf

Reference8 articles.

1. On the norm-closure of nilpotents;Apostol, Constantin;Rev. Roumaine Math. Pures Appl.,1974

2. On a problem of Halmos;Apostol, Constantin;Rev. Roumaine Math. Pures Appl.,1974

3. Compact restrictions of operators;Brown, Arlen;Acta Sci. Math. (Szeged),1971

4. A model for quasinilpotent operators;Foiaş, Ciprian;Michigan Math. J.,1974

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