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On numerical range and numerical radius of convex function operators

Abdelouahab Mansour|Khaoula Zaiz
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.12|한국수학논문집 (Korean Journal of Mathematics)|제27권 제4호|pp. 879-898

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참고문헌

키워드

numerical radiusNumerical rangeconvex operator functionself-adjoint operator.
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초록

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.

Abstract

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.

참고문헌 (15)

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