M. Bhattacharjee, J. Eschmeier, Dinesh K. Keshari, Jaydeb Sarkar
Published 2015-09-23Version 1
The object of this paper is to study wandering subspaces for commuting tuples of operators on Hilbert spaces. It is shown that, for a large class of analytic functional Hilbert spaces on the unit ball, wandering subspaces for restrictions of the multiplication tuple $M_z = (M_{z_1}, \ldots ,M_{z_n})$ can be described in terms of suitable inner multipliers. Necessary and sufficient conditions for the existence of generating wandering subspaces are given. Along the way we prove a useful uniqueness result for minimal dilations of pure row contractions.
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