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arXiv · 1608.02328

A Class of Sub-Hardy Hilbert Spaces Associated with Weighted Shifts

Sneh Lata·Dinesh Singh
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Abstract

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 .

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Sneh Lata, Dinesh Singh. 2016-08-08. A Class of Sub-Hardy Hilbert Spaces Associated with Weighted Shifts. https://arxiv.org/abs/1608.02328

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