ON NUMERICAL RANGE AND NUMERICAL RADIUS OF CONVEX FUNCTION OPERATORS

ON NUMERICAL RANGE AND NUMERICAL RADIUS OF CONVEX FUNCTION OPERATORS

In this paper we prove some interesting inclusions concerning the numerical range of some operators and the numerical range of theirs ranges with a convex function. Further, we prove some inequalities for the numerical radius. These inclusions and inequalities are based on some classical convexity i...

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Veröffentlicht in:Korean Journal of mathematics 2019, Vol.27 (4), p.879-898
Hauptverfasser: Zaiz, Khaoula, Mansour, Abdelouahab
Format: Artikel
Sprache:kor
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Zusammenfassung:In this paper we prove some interesting inclusions concerning the numerical range of some operators and the numerical range of theirs ranges with a convex function. Further, we prove some inequalities for the numerical radius. These inclusions and inequalities are based on some classical convexity inequalities for non-negative real numbers and some operator inequalities.
ISSN:1976-8605
2288-1433