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http://dx.doi.org/10.4134/BKMS.b150774

REDUCING SUBSPACES OF WEIGHTED SHIFTS WITH OPERATOR WEIGHTS  

Gu, Caixing (Department of Mathematics California Polytechnic State University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.5, 2016 , pp. 1471-1481 More about this Journal
Abstract
We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.
Keywords
weighted shifts with operator weights; reducing subspaces; analytic Toeplitz operators; Bergman space; bidisk;
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Times Cited By KSCI : 1  (Citation Analysis)
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