前Hilbert模中Cauchy-Schwarz不等式的精化及其应用

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2023-08-27 DOI:10.1007/s43034-023-00296-8

Ali Zamani

引用次数: 0

摘要

给出了前Hilbert模框架下Cauchy–Schwarz不等式的新扩展。文中还给出了在（C^*\）-代数中数值半径的一个应用。

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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Refinements of the Cauchy–Schwarz inequality in pre-Hilbert \(C^*\)-modules and their applications

New extensions of the Cauchy–Schwarz inequality in the framework of pre-Hilbert \(C^*\)-modules are given. An application to the numerical radius in \(C^*\)-algebras is also provided.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.