A New Stability of the S-Essential Spectrum of Multivalued Linear Operators
We unfold in this paper two main results. In the first, we give the necessary assumptions for three linear relations $A$, $B$ and $S$ such that $\sigma_{eap,S}(A+B)= \sigma _{eap,S}(A)$ and $\sigma_{e\delta,S}(A+B)= \sigma_{e\delta,S}(A)$ is true. In the second, considering the fact that the linear...
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Etamaths Publishing
2017-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1060 |
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doaj-4309f1b7b1dc42a0bd46df1ecceb1b962021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-05-0114118233A New Stability of the S-Essential Spectrum of Multivalued Linear OperatorsAymen Ammar0Slim FakhfakhAref JeribiDepartement de MathematiquesWe unfold in this paper two main results. In the first, we give the necessary assumptions for three linear relations $A$, $B$ and $S$ such that $\sigma_{eap,S}(A+B)= \sigma _{eap,S}(A)$ and $\sigma_{e\delta,S}(A+B)= \sigma_{e\delta,S}(A)$ is true. In the second, considering the fact that the linear relations $A$, $B$ and $S$ are not precompact or relatively precompact, we can show that $\sigma_{eap,S}(A+B)= \sigma_{eap,S}(A)$ is true.http://etamaths.com/index.php/ijaa/article/view/1060 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aymen Ammar Slim Fakhfakh Aref Jeribi |
| spellingShingle |
Aymen Ammar Slim Fakhfakh Aref Jeribi A New Stability of the S-Essential Spectrum of Multivalued Linear Operators International Journal of Analysis and Applications |
| author_facet |
Aymen Ammar Slim Fakhfakh Aref Jeribi |
| author_sort |
Aymen Ammar |
| title |
A New Stability of the S-Essential Spectrum of Multivalued Linear Operators |
| title_short |
A New Stability of the S-Essential Spectrum of Multivalued Linear Operators |
| title_full |
A New Stability of the S-Essential Spectrum of Multivalued Linear Operators |
| title_fullStr |
A New Stability of the S-Essential Spectrum of Multivalued Linear Operators |
| title_full_unstemmed |
A New Stability of the S-Essential Spectrum of Multivalued Linear Operators |
| title_sort |
new stability of the s-essential spectrum of multivalued linear operators |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2017-05-01 |
| description |
We unfold in this paper two main results. In the first, we give the necessary assumptions for three linear relations $A$, $B$ and $S$ such that $\sigma_{eap,S}(A+B)= \sigma _{eap,S}(A)$ and $\sigma_{e\delta,S}(A+B)= \sigma_{e\delta,S}(A)$ is true. In the second, considering the fact that the linear relations $A$, $B$ and $S$ are not precompact or relatively precompact, we can show that $\sigma_{eap,S}(A+B)= \sigma_{eap,S}(A)$ is true. |
| url |
http://etamaths.com/index.php/ijaa/article/view/1060 |
| work_keys_str_mv |
AT aymenammar anewstabilityofthesessentialspectrumofmultivaluedlinearoperators AT slimfakhfakh anewstabilityofthesessentialspectrumofmultivaluedlinearoperators AT arefjeribi anewstabilityofthesessentialspectrumofmultivaluedlinearoperators AT aymenammar newstabilityofthesessentialspectrumofmultivaluedlinearoperators AT slimfakhfakh newstabilityofthesessentialspectrumofmultivaluedlinearoperators AT arefjeribi newstabilityofthesessentialspectrumofmultivaluedlinearoperators |
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