富田可观测代数的无界推广III

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2023-10-01 DOI:10.1016/S0034-4877(23)00072-1

Hiroshi Inoue

引用次数: 0

摘要

在本文中，我们将继续对[8，9]中所做的T†-代数的研究，最重要的是，我们研究了T†代数的向量表示部分的分解，并将结果应用于*-代数上的不变正倍半线性形式。

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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An unbounded generalization of tomita's observable algebras III

In this paper we shall continue the studies of T^†-algebras done in [8, 9], and above all we investigate decompositions of the vector representation part of a T^†-algebra and apply the results to invariant positive sesquilinear forms on *-algebras.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.