On quasinilpotent semigroups of operators-Reference-Cited by-同舟云学术

On quasinilpotent semigroups of operators

Published:1982 Issue:3 Volume:86 Page:485-486
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Guinand P. S.

Abstract

We construct a pair of operators such that the semigroup generated by them consists of operators which are nilpotent of index 3. The sum of the two operators, however, is not quasinilpotent.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-086-03/S0002-9939-1982-0671220-5/S0002-9939-1982-0671220-5.pdf

Reference5 articles.

1. The Engel-Kolchin theorem revisited;Kaplansky, Irving,1977

2. On triangularization of algebras of operators;Laurie, C.;J. Reine Angew. Math.,1981

3. Über nilpotente Unterringe;Levitzki, Jakob;Math. Ann.,1931

4. A. Thue, Ueber unendliche Zeichenreihen, Selected Mathematical Papers of Axel Thue, Universiteforlaget, Oslo-Bergen-Tromso, 1977, pp. 139-158.

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators;Linear and Multilinear Algebra;2022-09-22

2. On the Theory of Topological Radicals;Journal of Mathematical Sciences;2022-06

3. Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators;Linear and Multilinear Algebra;2018-07-02

4. Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators;Linear Algebra and its Applications;2017-11

5. Topological radicals and joint spectral radius;Functional Analysis and Its Applications;2012-10