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.
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/JAM.2005.81 |
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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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1725637480009433088 |