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A New Identity for Resolvents of Operators
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-13
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
A new identity for resolvents of operators is suggested.
We show that in appropriate situations it is more convenient than the Hilbert identity.
In particular, we establish a new invertibility condition for perturbed operators as well as new bounds for the spectrum of perturbed operators.
As a particular case we consider perturbations of Hilbert-Schmidt operators.
American Psychological Association (APA)
Gil', Michael. 2013. A New Identity for Resolvents of Operators. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-456841
Modern Language Association (MLA)
Gil', Michael. A New Identity for Resolvents of Operators. International Journal of Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-456841
American Medical Association (AMA)
Gil', Michael. A New Identity for Resolvents of Operators. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-456841
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456841