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

YILMAZ F.

Turkish Journal of Mathematics, cilt.48, sa.5, ss.995-1000, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 5
  • Basım Tarihi: 2024
  • Doi Numarası: 10.55730/1300-0098.3555
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.995-1000
  • Anahtar Kelimeler: outer product, pseudospectrum, Tensor product
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.