算子空间、注入包络和 G 空间中的实结构

Pub Date : 2024-04-24 DOI:10.1007/s00020-024-02766-7

David P. Blecher, Arianna Cecco, Mehrdad Kalantar

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引用次数: 0

摘要

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

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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