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Norm estimates for functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum

Norm estimates for functions of a Hilbert–Schmidt operator nonregular on the convex hull of the... Functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum are considered. The logarithm, fractional powers and meromorphic functions of operators are examples of such functions. In the paper, sharp norm estimates are established for the considered operator functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Norm estimates for functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum

The Journal of Analysis , Volume 26 (1) – Dec 12, 2017

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-017-0066-1
Publisher site
See Article on Publisher Site

Abstract

Functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum are considered. The logarithm, fractional powers and meromorphic functions of operators are examples of such functions. In the paper, sharp norm estimates are established for the considered operator functions.

Journal

The Journal of AnalysisSpringer Journals

Published: Dec 12, 2017

References