A geometric equivalent of the invariant subspace problem-Reference-Cited by-同舟云学术

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A geometric equivalent of the invariant subspace problem

Published:1976 Issue:1 Volume:61 Page:66-68
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Nordgren Eric A.,Radjavi Heydar,Rosenthal Peter

Abstract

It is shown that every operator has an invariant subspace if and only if every pair of idempotents has a common invariant subspace.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-061-01/S0002-9939-1976-0430822-9/S0002-9939-1976-0430822-9.pdf

Reference3 articles.

1. Generators of the ring of bounded operators;Davis, Chandler;Proc. Amer. Math. Soc.,1955

2. Normal dilations and extensions of operators;Halmos, Paul R.;Summa Brasil. Math.,1950

3. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77;Radjavi, Heydar,1973

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. Invariant Subspaces of Idempotents on Hilbert Spaces;Integral Equations and Operator Theory;2022-12-16

2. Noncommutative Functional Calculus and Its Applications on Invariant Subspace and Chaos;Mathematics;2020-09-09

3. Invariant and Almost-Invariant Subspaces for Pairs of Idempotents;Integral Equations and Operator Theory;2015-09-19

4. On Commutators of Idempotents;Linear and Multilinear Algebra;2002-01

5. References;Composition Operators on Function Spaces;1993

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