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arXiv · 2303.17054

Real structure in operator spaces, injective envelopes and $G$-spaces

David P. Blecher·Arianna Cecco·Mehrdad Kalantar
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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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David P. Blecher, Arianna Cecco, Mehrdad Kalantar. 2023-03-29. Real structure in operator spaces, injective envelopes and $G$-spaces. https://arxiv.org/abs/2303.17054

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