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The first published proof of the Mazur-Gelfand theorem, due to Gelfand himself (though previously announced without proof by Mazur), is based on the vector-valued version of the Liouville theorem, which was further extended by Arens to cover a more general situation (see [1] and references therein). [1] R. Arens (1947), Linear topological division algebras, Bull. AMS, Vol. 53, pp. 623-630. |
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The first published proof of the Mazur-Gelfand theorem, due to Gelfand himself, is based on the vector-valued version of the Liouville theorem, which was further extended by Arens to cover a more general situation (see [1] and references therein). [1] R. Arens (1947), Linear topological division algebras, Bull. AMS, Vol. 53, pp. 623-630. |
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