Perturbations by nilpotent operators on Hilbert space-Reference-Cited by-同舟云学术

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Perturbations by nilpotent operators on Hilbert space

Published:1973 Issue:2 Volume:41 Page:530-534
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brown Arlen,Pearcy Carl,Salinas Norberto

Abstract

If T T is any noncompact, bounded, linear operator on a separable Hilbert space H H , then there exists a nilpotent (bounded, linear) operator N N on H H such that N + T N + T is invertible.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-041-02/S0002-9939-1973-0374955-1/S0002-9939-1973-0374955-1.pdf

Reference3 articles.

1. Structure of commutators of operators;Brown, Arlen;Ann. of Math. (2),1965

2. Spectral characterization of two sided ideals in 𝐵(𝐻);Dyer, John A.;Israel J. Math.,1971

3. Operators with essentially disconnected spectrum;Salinas, Norberto;Acta Sci. Math. (Szeged),1972

Cited by 3 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. Composants of the Stone–Čech remainder of the reals;Topology and its Applications;2015-11

2. Sums and products of quasi-nilpotent operators;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1984

3. Operators which weakly perturb the spectrum;Siberian Mathematical Journal;1978-05

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