Bull. Korean Math. Soc. 2016; 53(5): 1471-1481
Online first article September 13, 2016 Printed September 30, 2016
https://doi.org/10.4134/BKMS.b150774
Copyright © The Korean Mathematical Society.
Caixing Gu
California Polytechnic State University
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
MSC numbers: Primary 47B37, 47A15
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