Invertibility and Spectrum Localization of Non-Self-Adjoint Operators

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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. © 2002 Elsevier Science (USA).

Keywords: infinite matrices; integral operators; integro-differential operators; invertibility; linear operators; spectrum

Document Type: Research Article

Affiliations: Department of Mathematics, Ben Gurion University of the Negev, Beer-Sheva, 84105, Israel

Publication date: January 1, 2002

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