Real Structure in Operator Spaces, Injective Envelopes and G-spaces

IF 0.8 3区数学 Q2 MATHEMATICS

Integral Equations and Operator Theory Pub Date : 2024-04-24 DOI:10.1007/s00020-024-02766-7

David P. Blecher, Arianna Cecco, Mehrdad Kalantar

引用次数: 0

Abstract

We present some more foundations for a theory of real structure in operator spaces and algebras, in particular concerning the real case of the theory of injectivity, and the injective, ternary, and \(C^*\)-envelope. We consider the interaction between these topics and the complexification. We also generalize many of these results to the setting of operator spaces and systems acted upon by a group.

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算子空间、注入包络和 G 空间中的实结构

我们为算子空间和代数中的实结构理论提出了一些新的基础，特别是关于注入理论的实情形，以及注入、三元和（C^*\）包络。我们考虑了这些主题与复合化之间的相互作用。我们还将这些结果中的许多结果推广到由一个群作用的算子空间和系统的环境中。

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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来源期刊

Integral Equations and Operator Theory 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Integral Equations and Operator Theory (IEOT) is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory. The journal reports on the full scope of current developments from abstract theory to numerical methods and applications to analysis, physics, mechanics, engineering and others. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc.