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

Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref

Research Article

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

Aymen Ammar¹*
Slim Fakhfakh
Aref Jeribi

Departement de Mathematiques

* Corresponding author

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.

How to Cite

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

BibTeX

@article{Ammar2017,
  author  = {Ammar, Aymen and Fakhfakh, Slim and Jeribi, Aref},
  title   = {A New Stability of the S-Essential Spectrum of Multivalued Linear Operators},
  journal = {Int. J. Anal. Appl.},
  volume  = {14},
  year    = {2017},
  pages   = {1--8},
  doi     = {}
}

References

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