局部C*-代数中取值的2-内积

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI:10.18311/JIMS/2018/14953

B. M. Najmabadi, T. L. Shateri

引用次数: 5

摘要

本文引入了在局部C* -代数上取值的2-内积映射的新概念。然后证明了关于Schwarz不等式、极化恒等式和相关重要性质的一些结果。

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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2-Inner Product which Takes Values in a Locally C* - Algebras

In this paper we introduce the new concept of 2-inner product map that takes values on locally C* -algebras. Then we prove some results on Schwarz inequality, the polarization identity and related important properties.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.