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Spectrum of bidual uniform algebras

Functional Analysis 2026-03-24 v2

Abstract

We obtain a description of the spectrum of bidual algebra AA^{**} of a uniform algebra AA. This spectrum turns out to be a quotient space of the hyper-Stonean envelope of the spectrum of AA.

Keywords

Cite

@article{arxiv.2601.23055,
  title  = {Spectrum of bidual uniform algebras},
  author = {Marek Kosiek and Krzysztof Rudol},
  journal= {arXiv preprint arXiv:2601.23055},
  year   = {2026}
}

Comments

Current version contains gas which must be corrected