Local spectral theory for r and s satisfying rnsrn = rj

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Abstract

In this paper, we analyze local spectral properties of operators R, S and RS which satisfy the operator equations RnSRn = Rj and Sn RSn = Sj for same integers j ≥ n ≥ 0. We also continue to study the relationship between the local spectral properties of an operator R and the local spectral properties of S. Thus, we investigate the transmission of some local spectral properties from R to S and we illustrate our results with an example. The theory is exemplified in some cases.
Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalAxioms
Volume9
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics
  • Logic
  • Geometry and Topology

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