Journal article
Berger Measure for Some Transformations of Subnormal Weighted Shifts
Integral equations and operator theory, Vol.84(3), pp.429-450
03/01/2016
DOI: 10.1007/s00020-015-2264-z
Abstract
A subnormal weighted shift may be transformed to another shift in various ways, such as taking the p-th power of each weight or forming the Aluthge transform. We determine in a number of cases whether the resulting shift is subnormal, and, if it is, find a concrete representation of the associated Berger measure, directly for finitely atomic measures, and using both Laplace transform and Fourier transform methods for more complicated measures. Alternatively, the problem may be viewed in purely measure-theoretic terms as the attempt to solve moment matching equations such as () for one measure given the other.
Details
- Title: Subtitle
- Berger Measure for Some Transformations of Subnormal Weighted Shifts
- Creators
- Raul E Curto - University of IowaGeorge R Exner - Bucknell University
- Resource Type
- Journal article
- Publication Details
- Integral equations and operator theory, Vol.84(3), pp.429-450
- DOI
- 10.1007/s00020-015-2264-z
- ISSN
- 0378-620X
- eISSN
- 1420-8989
- Publisher
- SPRINGER BASEL AG
- Number of pages
- 22
- Grant note
- DMS-0801168; DMS-1302666 / NSF
- Language
- English
- Date published
- 03/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240876802771
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