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arXiv · 2310.06454

Unit-free versions of the Vidav-Palmer theorem and of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras

Angel Rodriguez Palacios
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Abstract

We prove unit-free versions of both the associative and the non-associative Vidav-Palmer theorems. Then these results are applied to prove a unit-free version of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras.

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Angel Rodriguez Palacios. 2023-10-10. Unit-free versions of the Vidav-Palmer theorem and of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras. https://arxiv.org/abs/2310.06454

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