Some inequalities for bounds of joint δ-numerical radius and joint δ-Crawford number functions


İSMAİLOV Z., Otkun Çevik E.

Linear and Multilinear Algebra, vol.74, no.2, pp.192-212, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.1080/03081087.2026.2613296
  • Journal Name: Linear and Multilinear Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.192-212
  • Keywords: joint δ-Crawford number, Joint δ-numerical radius, sectorial operators
  • Karadeniz Technical University Affiliated: Yes

Abstract

The primary objective of this study is to derive evaluation formulas for the lower and upper bounds of the joint δ-numerical radius and the joint δ-Crawford number functions. Subsequently, several significant estimates for these bounds are presented in the context of sectorial coordinate operators. The results obtained not only extend certain well-known findings in the recent literature but also contribute novel and practical insights to the field. Another aim of this work is to enrich the existing theory by offering alternative and useful results in this area.