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


The quadratic Putnam-Fuglede theorem

Author: John Daughtry
Journal: Proc. Amer. Math. Soc. 59 (1976), 404-405
MSC: Primary 47A15; Secondary 47B15
MathSciNet review: 0470706
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Abstract: We give a new sufficient condition for an invariant subspace for a normal operator to be reducing. This result constitutes a generalization of the Putnam-Fuglede Theorem to quadratic operator equations.

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PII: S 0002-9939(1976)0470706-3
Keywords: Normal operator, Putnam-Fuglede Theorem, quadratic operator equation, invariant subspaces
Article copyright: © Copyright 1976 American Mathematical Society

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