准 * 代數上 $$C^*$$ 有值正等次線性映射的 GNS 結構

IF 1.1 3区数学 Q1 MATHEMATICS

Mediterranean Journal of Mathematics Pub Date : 2024-08-05 DOI:10.1007/s00009-024-02704-2

Giorgia Bellomonte, Stefan Ivković, Camillo Trapani

引用次数: 0

摘要

准*代数（(\mathfrak A,{\mathfrak A}_{\scriptscriptstyle 0}）\）上的正不变倍线性形式的GNS构造被推广到从$\mathfrak A\times \mathfrak A$ 到$C^*$-代数（{\mathfrak {C}}）的一类正倍线性映射。结果是在作用于某个准规范的${\mathfrak {C}}$模块的算子空间中取值的*表示。

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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GNS Construction for $$C^*$$ -Valued Positive Sesquilinear Maps on a quasi *-algebra

The GNS construction for positive invariant sesquilinear forms on quasi *-algebra $(\mathfrak A,{\mathfrak A}_{\scriptscriptstyle 0})$ is generalized to a class of positive sesquilinear maps from $\mathfrak A\times \mathfrak A$ into a $C^*$-algebra ${\mathfrak {C}}$. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed ${\mathfrak {C}}$-module.

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来源期刊

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.