A New Identity for Resolvents of Operators

Author

Gil', Michael

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

Mathematics
Science

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