Journal of Applied Mathematics
Volume 2005 (2005), Issue 1, Pages 81-92
Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
Laboratoire Equations Differentielles, Departement de Mathematiques, Faculté des Sciences, Université Mentouri, Constantine 25000, Algeria
Received 3 February 2004; Revised 20 May 2004
Copyright © 2005 A. Hebbeche. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.