Measure of non strict singularity of Schechter essential spectrum of two bounded operators and application

Document Type : Research Paper

Authors

1 Institut Suprieur de Gestion Industrielle de Sfax, University‎ ‎of Sfax‎, ‎Route de Tunis km 10‎, ‎Cite El Ons B.P 1164, 3021‎, ‎Sfax‎, ‎Tunisie.

2 Department of‎ ‎Mathematics‎, ‎Faculty of Sciences of Sfax, University of Sfax‎, ‎Route de Soukra‎, ‎Km 3.5‎, ‎P.O. Box‎ ‎1171, 3000‎, ‎Sfax‎, ‎Tunisie.

Abstract

In this paper‎, ‎we discuss the essential spectrum of sum of two bounded operators‎ ‎using measure of non strict singularity‎. ‎Based on this new investigation‎, ‎a problem of one-speed neutron transport operator is presented‎.

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References

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Bulletin of the Iranian Mathematical Society
Volume 43, Issue 5
October 2017
Pages 1543-1558

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History

  • Receive Date: 05 May 2016
  • Revise Date: 02 September 2016
  • Accept Date: 02 September 2016

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