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Reducing subspaces of weighted shift operators
Author(s):
Michael
Stessin;
Kehe
Zhu
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2631-2639.
MSC (2000):
Primary 47B37, 47A15
Posted:
February 12, 2002
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Abstract:
A complete description of the reducing subspaces of weighted unilateral shift operators of finite multiplicity is obtained.
References:
-
- 1.
- M.B. Abrahamse and J.A. Ball, Analytic Toeplitz operators with automorphic symbol II, Proc. Amer. Math. Soc. 59 (1976), 323-328. MR 56:12962
- 2.
- J.A. Ball, Hardy space expectation operators and reducing subspaces, Proc. Amer. Math. Soc. 47 (1975), 351-357. MR 50:10887
- 3.
- P. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102-112. MR 27:2868
- 4.
- E. Nordgren, Reducing subspaces of analytic Toeplitz operators, Duke Math. J. 34 (1967), 175-181. MR 35:7155
- 5.
- D. Sarason, Invariant subspaces, Topics in Operator Theory, Mathematical Surveys 13 (1974), 1-47. MR 50:10862
- 6.
- A.L.Shields, Weighted shift operators and analytic function theory, Topics in Operator Theory, Mathematical Surveys 13 (1974), 49-128. MR 50:14341
- 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:
10.1090/S0002-9939-02-06382-7
PII:
S 0002-9939(02)06382-7
Received by editor(s):
February 6, 2001
Received by editor(s) in revised form:
April 1, 2001
Posted:
February 12, 2002
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2002,
American Mathematical Society
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