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Invertibility and Spectrum Localization of Non-Self-Adjoint Operators

✍ Scribed by M.I Gil'

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 133 KB
Volume: 28
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.2001.0766

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✦ Synopsis

This paper deals with Volterra perturbations of normal operators in a separable Hilbert space. Invertibility conditions and estimates for the norm of the inverse operators are established. In addition, bounds for the spectrum are suggested. Applications to integral, integro-differential, and matrix operators are discussed.

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