Reducing subspaces of weighted shift operators
Authors:
Michael Stessin and Kehe Zhu
Journal:
Proc. Amer. Math. Soc. 130 (2002), 2631-2639
MSC (2000):
Primary 47B37, 47A15
DOI:
https://doi.org/10.1090/S0002-9939-02-06382-7
Published electronically:
February 12, 2002
MathSciNet review:
1900871
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A complete description of the reducing subspaces of weighted unilateral shift operators of finite multiplicity is obtained.
- 1. M. B. Abrahamse and Joseph A. Ball, Analytic Toeplitz operators with automorphic symbol. II, Proc. Amer. Math. Soc. 59 (1976), no. 2, 323–328. MR 454714, https://doi.org/10.1090/S0002-9939-1976-0454714-4
- 2. Joseph A. Ball, Hardy space expectation operators and reducing subspaces, Proc. Amer. Math. Soc. 47 (1975), 351–357. MR 358421, https://doi.org/10.1090/S0002-9939-1975-0358421-7
- 3. Paul R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102–112. MR 152896, https://doi.org/10.1515/crll.1961.208.102
- 4. Eric A. Nordgren, Reducing subspaces of analytic Toeplitz operators, Duke Math. J. 34 (1967), 175–181. MR 216321
- 5. Donald Sarason, Invariant subspaces, Topics in operator theory, Amer. Math. Soc., Providence, R.I., 1974, pp. 1–47. Math. Surveys, No. 13. MR 0358396
- 6. Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. Math. Surveys, No. 13. MR 0361899
- 7. K. Zhu, Reducing subspaces for a class of multiplication operators, J. London Math. Soc. (2) 62 (2000), 553-568. CMP 2001:01
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Additional Information
Michael Stessin
Affiliation:
Department of Mathematics, State University of New York, Albany, New York 12222
Email:
stessin@math.albany.edu
Kehe Zhu
Affiliation:
Department of Mathematics, State University of New York, Albany, New York 12222
Email:
kzhu@math.albany.edu
DOI:
https://doi.org/10.1090/S0002-9939-02-06382-7
Received by editor(s):
February 6, 2001
Received by editor(s) in revised form:
April 1, 2001
Published electronically:
February 12, 2002
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2002
American Mathematical Society
