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A class of sub-hardy hilbert spaces associated with weighted shifts
, Singh D.
Published in University of Houston
Volume: 44
Issue: 1
Pages: 301 - 308
In this note we study sub-Hardy Hilbert spaces on which the the action of the operator of multiplication by the coordinate function z is assumed to be weaker than that of an isometry. We identify such operators with a class of weighted shifts. The well known results of de Branges and Beurling are deduced as corollaries. © 2018 University of Houston. All rights reserved.
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