Korean J. Math.  Vol 28, No 4 (2020)  pp.673-697
DOI: https://doi.org/10.11568/kjm.2020.28.4.673

Some description of essential structured approximate and defect pseudospectrum

Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi

Abstract


In this paper, we introduce and study the structured essential approximate and defect pseudospectrum of closed, densely defined linear operators in a Banach space. Beside that, we discuss some results of stability and some properties of these essential pseudospectra. Finally, we will apply the results described above to investigate the essential approximate and defect pseudospectra of the following integro-differential transport operator.


Keywords


Pseudospectrum, structured essential approximate pseudospectrum and structured essential defect pseudospectrum.

Subject classification

47A53 - 47A55 - 54B35 -47A13

Sponsor(s)



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References


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