The quadratic Putnam-Fuglede theorem
HTML articles powered by AMS MathViewer
- by John Daughtry PDF
- Proc. Amer. Math. Soc. 59 (1976), 404-405 Request permission
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
- Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77, Springer-Verlag, New York-Heidelberg, 1973. MR 0367682, DOI 10.1007/978-3-642-65574-6
- M. Rosenblum, On a theorem of Fuglede and Putnam, J. London Math. Soc. 33 (1958), 376–377. MR 99598, DOI 10.1112/jlms/s1-33.3.376
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 404-405
- MSC: Primary 47A15; Secondary 47B15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0470706-3
- MathSciNet review: 0470706