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Unitary parts of generalized Toeplitz operators


Author: Jeffrey R. Butz
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
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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 [Enhancements On Off] (What's this?)

  • [1] R. Goor, On Toeplitz operators which are contractions, Proc. Amer. Math. Soc. 34 (1972), 191-192. MR 0293443 (45:2520)
  • [2] B. Sz.-Nagy and C. Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland, Amsterdam, 1970. MR 0275190 (43:947)
  • [3] L. Page, Bounded and compact vectorial Hankel operators, Trans. Amer. Math. Soc. 150 (1970), 529-540. MR 0273449 (42:8327)
  • [4] M. Rosenblum, Self-adjoint Toeplitz operators, Summer Institute of Spectral Theory and Statistical Mechanics 1965, Brookhaven National Laboratory, Upton, New York, 1966.

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DOI: https://doi.org/10.1090/S0002-9939-1977-0454695-4
Article copyright: © Copyright 1977 American Mathematical Society

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