Reducing subspaces of weighted shift operators
HTML articles powered by AMS MathViewer
- by Michael Stessin and Kehe Zhu PDF
- Proc. Amer. Math. Soc. 130 (2002), 2631-2639 Request permission
Abstract:
A complete description of the reducing subspaces of weighted unilateral shift operators of finite multiplicity is obtained.References
- 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, DOI 10.1090/S0002-9939-1976-0454714-4
- Joseph A. Ball, Hardy space expectation operators and reducing subspaces, Proc. Amer. Math. Soc. 47 (1975), 351–357. MR 358421, DOI 10.1090/S0002-9939-1975-0358421-7
- Paul R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102–112. MR 152896, DOI 10.1515/crll.1961.208.102
- Eric A. Nordgren, Reducing subspaces of analytic Toeplitz operators, Duke Math. J. 34 (1967), 175–181. MR 216321
- Donald Sarason, Invariant subspaces, Topics in operator theory, Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974, pp. 1–47. MR 0358396
- Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. MR 0361899
- K. Zhu, Reducing subspaces for a class of multiplication operators, J. London Math. Soc. (2) 62 (2000), 553-568.
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
- MR Author ID: 187055
- Email: kzhu@math.albany.edu
- 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
- © Copyright 2002 American Mathematical Society
- 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
- MathSciNet review: 1900871