Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Hyperinvariant subspaces of reductive operators

Author: Robert L. Moore
Journal: Proc. Amer. Math. Soc. 63 (1977), 91-94
MSC: Primary 47A15
MathSciNet review: 0435888
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: T. B. Hoover has shown that if A is a reductive operator, then $ A = {A_1} \oplus {A_2}$, where $ {A_1}$ is normal and all the invariant subspaces of $ {A_2}$ are hyperinvariant. A new proof is presented of this result, and several corollaries are derived. Among these is the fact that if A is hyperinvariant and T is polynomially compact and $ AT = TA$, then $ {A^ \ast }T = T{A^ \ast }$. It is also shown that every reductive operator is quasitriangular.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A15

Retrieve articles in all journals with MSC: 47A15

Additional Information

PII: S 0002-9939(1977)0435888-9
Keywords: Reductive operator, hyperreducing subspace, hyporeductive operator
Article copyright: © Copyright 1977 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia