$A$数值半径界的改进

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI:10.14492/hokmj/2022-603

Raj Kumar NAYAK, Pintu BHUNIA, Kallol PAUL

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引用次数: 0

摘要

得到了算子和算子矩阵的$A$数值半径不等式的上界和下界，对已有的算子和算子矩阵的上界和下界进行了推广和改进。给出了两个算子之积的A数值半径的新上界。我们还为$2 \乘以$2 $算子矩阵的$A$数值半径开发了各种不等式。

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Improvements of $A$-numerical radius bounds

We obtain upper and lower bounds for the $A$-numerical radius inequalities of operators and operator matrices which generalize and improve on the existing ones. We present new upper bounds for the $A$-numerical radius of the product of two operators. We also develop various inequalities for the $A$-numerical radius of $2 \times 2 $ operator matrices.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.