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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.

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

  • [1] H. Radjavi and P. Rosenthal, Invariant subspaces, Ergebnisse math. Grenzgebiete, Band 77, Springer-Verlag, Berlin and New York, 1973. MR 0367682 (51:3924)
  • [2] M. Rosenblum, On a theorem of Fuglede and Putnam, J. London Math. Soc. 33 (1958), 376-377. MR 20 #6037. MR 0099598 (20:6037)

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Keywords: Normal operator, Putnam-Fuglede Theorem, quadratic operator equation, invariant subspaces
Article copyright: © Copyright 1976 American Mathematical Society

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