Unitary parts of generalized Toeplitz operators
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- by Jeffrey R. Butz PDF
- Proc. Amer. Math. Soc. 66 (1977), 95-98 Request permission
Abstract:
For a generalized Toeplitz operator acting on a Hilbert space with unilateral shift, necessary and sufficient conditions are obtained for the existence of a nontrivial unitary part, and an explicit description of this unitary part is given.References
- Robert Goor, On Toeplitz operators which are contractions, Proc. Amer. Math. Soc. 34 (1972), 191–192. MR 293443, DOI 10.1090/S0002-9939-1972-0293443-3
- Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. Translated from the French and revised. MR 0275190
- Lavon B. Page, Bounded and compact vectorial Hankel operators, Trans. Amer. Math. Soc. 150 (1970), 529–539. MR 273449, DOI 10.1090/S0002-9947-1970-0273449-3 M. Rosenblum, Self-adjoint Toeplitz operators, Summer Institute of Spectral Theory and Statistical Mechanics 1965, Brookhaven National Laboratory, Upton, New York, 1966.
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 95-98
- MSC: Primary 47A65; Secondary 47B30
- DOI: https://doi.org/10.1090/S0002-9939-1977-0454695-4
- MathSciNet review: 0454695