Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOME DESCRIPTION OF ESSENTIAL STRUCTURED APPROXIMATE AND DEFECT PSEUDOSPECTRUM

  • Received : 2020.01.17
  • Accepted : 2020.10.15
  • Published : 2020.12.30
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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.

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Acknowledgement

The authors would like to express their cordial gratitude to the referee for his/her kind comments.

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