On quasinormal Toeplitz operators
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- by Ichiro Amemiya, Takashi Ito and Tin Kin Wong PDF
- Proc. Amer. Math. Soc. 50 (1975), 254-258 Request permission
Abstract:
It is proved in this note that a quasinormal Toeplitz operator is either normal or analytic.References
- Arlen Brown and P. R. Halmos, Algebraic properties of Toeplitz operators, J. Reine Angew. Math. 213 (1963/64), 89–102. MR 160136, DOI 10.1007/978-1-4613-8208-9_{1}9
- P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887–933. MR 270173, DOI 10.1090/S0002-9904-1970-12502-2
- Takashi Itô and Tin Kin Wong, Subnormality and quasinormality of Toeplitz operators, Proc. Amer. Math. Soc. 34 (1972), 157–164. MR 303334, DOI 10.1090/S0002-9939-1972-0303334-7
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 254-258
- MSC: Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-1975-0410451-2
- MathSciNet review: 0410451