A New Stability of the S-Essential Spectrum of Multivalued Linear Operators

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Aymen Ammar, Slim Fakhfakh, Aref Jeribi, A New Stability of the S-Essential Spectrum of Multivalued Linear Operators, Int. J. Anal. Appl., 14 (1) (2017), 1-8.

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Aymen Ammar, Slim Fakhfakh, Aref Jeribi

Abstract

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.

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References

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