Application of Operator Matrices of 2x2 of Berezin Radius Inequality


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Authors

  • Hamdullah Başaran Suleyman Demirel University
  • Mehmet Gürdal Suleyman Demirel University

DOI:

https://doi.org/10.59287/icriret.1388

Keywords:

Berezin Number, Usual Operator Norm, Arithmetic-Geometric Mean Inequality, Mixed Schwarz Inequality, Convexity

Abstract

Many researchers in mathematics and mathematical physics are working on the Berezin symbol of the core Hilbert space operator, which has been proliferating in recent years. In this direction, some researchers (1.2) continued their important studies on the Berezin inequality ([18-24]). As a matter of fact, improved and improved versions of this inequality have attracted the attention of researchers in recent years ([8-11]. In this study, the upper bounds of the Berezin radius inequalities of 2x2 operator matrices were found. Al-Dolat and Kittaneh ([2]) and Bani-Domi and Kittaneh ([7]) inequalities are shown for 2x2 operator matrices using auxiliary theorems.

Author Biographies

Hamdullah Başaran, Suleyman Demirel University

Department of Mathematics,  Turkey

Mehmet Gürdal, Suleyman Demirel University

Department of Mathematics,  Turkey

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Published

2023-08-29

How to Cite

Başaran, H., & Gürdal, M. (2023). Application of Operator Matrices of 2x2 of Berezin Radius Inequality. International Conference on Recent and Innovative Results in Engineering and Technology, 122–128. https://doi.org/10.59287/icriret.1388