On direct sums of reflexive operators
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- by Avraham Feintuch PDF
- Proc. Amer. Math. Soc. 55 (1976), 65-68 Request permission
Abstract:
Let ${A_1}$ and ${A_2}$ be reflexive operators on a Hilbert space $H$. If ${A_2}$ is algebraic then ${A_1} \otimes {A_2}$ is reflexive.References
- James A. Deddens, Every isometry is reflexive, Proc. Amer. Math. Soc. 28 (1971), 509–512. MR 278099, DOI 10.1090/S0002-9939-1971-0278099-7
- J. A. Deddens and P. A. Fillmore, Reflexive linear transformations, Linear Algebra Appl. 10 (1975), 89–93. MR 358390, DOI 10.1016/0024-3795(75)90099-3 P. Rosenthal, Problems on invariant subspaces and operator algebras, Proc. 1970 Tihany Conf. on Hilbert Space Operators and Operator Algebras: Colloq. Math. Soc. Janos Bolyai 5 (1972).
- D. Sarason, Invariant subspaces and unstarred operator algebras, Pacific J. Math. 17 (1966), 511–517. MR 192365
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 65-68
- DOI: https://doi.org/10.1090/S0002-9939-1976-0390802-9
- MathSciNet review: 0390802