On the connection between σϵ(A1 ⊕A2) and σϵ(A1), σϵ(A2) for certain special operators

YILMAZ F.

Turkish Journal of Mathematics, vol.48, no.5, pp.995-1000, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.55730/1300-0098.3555
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.995-1000
  • Keywords: outer product, pseudospectrum, Tensor product
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, the connection between the ϵ-pseudospectrum of the tensor product operator A1 ⊕ A2 and the ϵ-pseudospectrums of operators A1 and A2 has been investigated and some results are given about this connection under certain conditions.