Proceedings of the American Mathematical Society

A characterization of bilateral operator weighted shifts being Cowen-Douglas operators

Author(s): You Qing Ji; Juexian Li; Yihua Yang
Journal: Proc. Amer. Math. Soc. 129 (2001), 3205-3210.
MSC (2000): Primary 47B10, 47B37
Posted: May 21, 2001
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It is characterized when a bilateral operator weighted shift is a Cowen-Douglas operator.

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[2]: R. Gellar, Operators commuting with a weighted shift, Proc. Amer. Math. Soc., 23(1969), 538-545. MR 41:4277a
[3]: C. Jiang and Z. Wang, Strongly irreducible operators on Hilbert space, Pitman Res. Notes Math. 389, Longman Sci. Tech., Harlow, Essex, 1998. MR 2000c:47033
[4]: A. Lambert, Unitary equivalence and reducibility of invertibly weighted shifts, Bull Austral. Math. Soc., 5(1971), 157-173. MR 45:4196
[5]: J. Li, Y. Ji and S. Sun, The essential spectrum and Banach reducibility of operator weighted shifts (in Chinese), it to appear in Acta Math. Sinica.
[6]: A. L. Shields, Weighted shift operators and analytic function theory, Math. Surveys, Vol. 13, Amer. Math. Soc., Providence, RI, 1974, 49-128. MR 50:14341

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B10, 47B37

You Qing Ji
Affiliation: Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China
Email: jiyqji@public.cc.jl.cn

Juexian Li
Affiliation: Department of Mathematics, Liaoning University, Shenyang 110036, People's Republic of China

Yihua Yang
Affiliation: Changchun Arts and Science College for Adults, Changchun 130000, People's Republic of China

DOI: 10.1090/S0002-9939-01-06031-2
PII: S 0002-9939(01)06031-2
Keywords: Bilateral operator weighted shift, Cowen-Douglas operator
Received by editor(s): November 1, 1999
Posted: May 21, 2001
Additional Notes: The first author was supported by the National Natural Science Foundation of China (19901011).
The second author was supported by NEF of Liaoning Education Commission of China.
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2001, American Mathematical Society

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