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Abstract
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Journal of Applied Mathematics 
Volume 2005 (2005), Issue 1, Pages 81-92
doi:10.1155/JAM.2005.81

Generalized resolvents and spectrum for a certain class of perturbed symmetric operators

A. Hebbeche

Laboratoire Equations Differentielles, Departement de Mathematiques, Faculté des Sciences, Université Mentouri, Constantine 25000, Algeria

Received 3 February 2004; Revised 20 May 2004

Abstract

The generalized resolvents for a certain class of perturbed symmetric operators with equal and finite deficiency indices are investigated. Using the Weinstein-Aronszajn formula, we give a classification of the spectrum.