Mortini, Raymond; Rupp, Rudolf The cone and cylinder algebras. (English) Zbl 1344.46037 Ann. Funct. Anal. 7, No. 1, 42-60 (2016). Summary: In this exposition-type note we present detailed proofs of certain assertions concerning several algebraic properties of the cone and cylinder algebras. These include a determination of the maximal ideals, the solution of the Bézout equation, and a computation of the stable ranks by elementary methods. MSC: 46J10 Banach algebras of continuous functions, function algebras 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces 46J20 Ideals, maximal ideals, boundaries 30H50 Algebras of analytic functions of one complex variable Keywords:cone algebra; cylinder algebra; Bézout equation; maximal ideals; stable ranks PDF BibTeX XML Cite \textit{R. Mortini} and \textit{R. Rupp}, Ann. Funct. Anal. 7, No. 1, 42--60 (2016; Zbl 1344.46037) Full Text: DOI arXiv Euclid OpenURL