希尔伯特空间算子若干数值半径不等式的改进

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2022-10-14 DOI:10.5556/j.tkjm.54.2023.4061

M. Rashid

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引用次数: 2

摘要

基于Furuta不等式的最近的Dragomir推广，建立了数值半径的一些幂不等式。还提供了一些具体案例。此外，在$r\geq 1$的情况下，我们得到了Hölder-McCarthy算子不等式的改进，并改进了Hilbert空间算子的和和积涉及数值半径幂的广义不等式。

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Refinements of Some Numerical Radius Inequalities for Hilbert Space Operators

Some power inequalities for the numerical radius based on the recent Dragomir extension of Furuta's inequality are established. Some particular cases are also provided. Moreover, we get an improvement of the H\"older-McCarthy operator inequality in the case when $r\geq 1$ and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert space operators.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.