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

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.

Bibliographic Details
Main Author: A. Hebbeche
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.81
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spelling doaj-98061e8ffcdf4b03853296f4fcf3a5342020-11-24T23:02:05ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422005-01-0120051819210.1155/JAM.2005.81Generalized resolvents and spectrum for a certain class of perturbed symmetric operatorsA. Hebbeche0Laboratoire Equations Differentielles, Departement de Mathematiques, Faculté des Sciences, Université Mentouri, Constantine 25000, AlgeriaThe 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.http://dx.doi.org/10.1155/JAM.2005.81
collection DOAJ
language English
format Article
sources DOAJ
author A. Hebbeche
spellingShingle A. Hebbeche
Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
Journal of Applied Mathematics
author_facet A. Hebbeche
author_sort A. Hebbeche
title Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
title_short Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
title_full Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
title_fullStr Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
title_full_unstemmed Generalized resolvents and spectrum for a certain class of perturbed symmetric operators
title_sort generalized resolvents and spectrum for a certain class of perturbed symmetric operators
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2005-01-01
description 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.
url http://dx.doi.org/10.1155/JAM.2005.81
work_keys_str_mv AT ahebbeche generalizedresolventsandspectrumforacertainclassofperturbedsymmetricoperators
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