A Class of Sub-Hardy Hilbert Spaces Associated with Weighted Shifts
classification
🧮 math.FA
keywords
classhilbertshiftsspacessub-hardyweightedactionassociated
read the original 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 .
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.