Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Invariant subspaces for products of Hermitian operators

Authors: Heydar Radjavi and Peter Rosenthal
Journal: Proc. Amer. Math. Soc. 43 (1974), 483-484
MSC: Primary 47A15
MathSciNet review: 0512667
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that a nonscalar operator which is the product of a Hermitian operator and a positive operator has a nontrivial hyperinvariant subspace; this is a slight generalization of a result of Suzuki's.

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

  • [1] P. A. Fillmore, Notes on operator theory, Van Nostrand Reinhold Math. Studies, no. 30, Van Nostrand-Reinhold, New York, 1970. MR 41 #2414. MR 0257765 (41:2414)
  • [2] B. Sz.-Nagy and C. Foiaş, Analyse harmonique des opérateurs de l'espace de Hilbert, Masson, Paris; Akad. Kiadó, Budapest, 1967; English rev. transl., North-Holland, Amsterdam; American Elsevier, New York; Akad. Kiadó, Budapest, 1970. MR 37 #778; 43 #947.
  • [3] N. Suzuki, Reduction theory of operators on Hilbert space, Indiana Univ. Math. J. 20 (1971), 953-958. MR 0405131 (53:8926)

Similar Articles

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

Retrieve articles in all journals with MSC: 47A15

Additional Information

Keywords: Operators on Hilbert space, hyperinvariant subspace, positive, Hermitian
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society