半希尔伯特空间算子的a -数值半径不等式

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-09-23 DOI:10.1007/s11565-025-00613-0

Messaoud Guesba, Mohammad Sababheh

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引用次数: 0

摘要

本文的目的是给出半希尔伯特空间中算子和的几个新的a算子半范数和a数值半径不等式。这些不平等改善了一些早期相关的不平等。特别地，得到了三角不等式的一些改进，得到了a算子半范数的界和多算子和的a数值半径。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On A-numerical radius inequalities of semi-Hilbert space operators

Our goal in this paper is to give several new A-operator semi-norm and A-numerical radius inequalities for sums of operators in a semi-Hilbert space. These inequalities improve some earlier related inequalities. In particular, some refinements of the triangle inequality are obtained, and bounds for the A-operator semi-norm and the A-numerical radius for sums of multiple operators are obtained.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.