The numerical radius was studied in semi-Hilbert space with the semi-product<·,>A induced by the positive operator A.The upper and lower bound of numerical radius in semi-Hilbert space was improved by using basic inequalities,such as the power mean inequality.And the compari-sion with the existing inequalities was given.We also obtained a condition for establishing the equal-ity sign in the final conclusion.
关键词
A-数值半径/不等式/正算子/半-Hilbert空间
Key words
A-numerical radius/inequalities/positive operator/semi-Hilbert space
维普
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