Algebras of operators and closed range-Reference-Cited by-同舟云学术

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Algebras of operators and closed range

Published:2005-05-02 Issue:11 Volume:133 Page:3281-3284
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Wogen Warren

Abstract

We consider operators T T such that every operator in the norm closed algebra generated by T T has closed range. Examples in a triangular AF algebra are constructed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-11/S0002-9939-05-08035-4/S0002-9939-05-08035-4.pdf

Reference8 articles.

1. On the closed range points in the spectrum of operators;Apostol, Constantin;Rev. Roumaine Math. Pures Appl.,1976

2. The reduced minimum modulus;Apostol, Constantin;Michigan Math. J.,1985

3. Graduate Texts in Mathematics;Conway, John B.,1990

4. Semisimple triangular AF algebras;Donsig, Allan P.;J. Funct. Anal.,1993

5. Pure and Applied Mathematics;Kadison, Richard V.,1986

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1. On regular $^*$-algebras of bounded linear operators: A new approach towards a theory of noncommutative Boolean algebras;Tohoku Mathematical Journal;2023-09-01

2. Operator version of the best approximation problem in HilbertC⁎-modules;Journal of Mathematical Analysis and Applications;2014-05

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