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arXiv · 1708.04554

Gleason parts of bidual algebras

Marek Kosiek·Krzysztof Rudol
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Abstract

It is shown that the embeding of any Gleason part of a uniform algebra into the spectrum of its second dual is an entire Gleason part. This result is based on the equality of weak-star and norm topologies on the Bear-Gleason part.

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Marek Kosiek, Krzysztof Rudol. 2017-08-15. Gleason parts of bidual algebras. https://arxiv.org/abs/1708.04554

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