Quasi-wandering subspaces in a class of reproducing analytic Hilbert spaces
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Abstract:
We prove that a class of reproducing analytic Hilbert spaces with $\mathcal {U}$-invariant kernels on the unit ball has the quasi-wandering property for the $d$-shift operator tuple.References
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Additional Information
- Yong Chen
- Affiliation: Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People’s Republic of China
- Email: ychen227@gmail.com
- Received by editor(s): February 7, 2011
- Received by editor(s) in revised form: May 28, 2011
- Published electronically: April 17, 2012
- Additional Notes: The author was supported in part by NNSFC (Nos. 10971195 and 11001246), ZJNU (Nos. Y6110260 and Y6100007), and Tianyuan FC (No. 11126259).
- Communicated by: Richard Rochberg
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 4235-4242
- MSC (2010): Primary 47B37; Secondary 46E22
- DOI: https://doi.org/10.1090/S0002-9939-2012-11290-0
- MathSciNet review: 2957214