Stability of essential spectra of closed operators under T-compact equivalence and applications

Authors

  • N. Khaldi University of Sciences and Technology of Oran, Algeria
  • B. Messirdi University of Oran 1, Ahmed Benbella, Algeria

DOI:

https://doi.org/10.31926/but.mif.2019.12.61.1.5

Keywords:

weak and strong T-compact equivalence, closed operators, essential spectra, stability, transport operator

Abstract

The main subject of this paper is to introduce and study the concept of T-compact equivalence of closed linear operators in Hilbert spaces. Many results are proved via this equivalence, especially the invariance of essential spectra of T-compact equivalent closed operators. The results obtained are used to describe some Fredholm essential spectra of transport operators.

Author Biographies

N. Khaldi, University of Sciences and Technology of Oran, Algeria

Department of Mathematics, Mohammed, Boudiaf, USTO;
Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella

 

B. Messirdi, University of Oran 1, Ahmed Benbella, Algeria

Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO)

Downloads

Published

2019-07-12

Issue

Vol. 12(61) No. 1 (2019)

Section

MATHEMATICS