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A
characterization of Riemann algebras
Bruno Kramm |
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Vol. 65 (1976), No. 2, 393–397
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Abstract |
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A topological algebra 𝒜 is called Riemann algebra if it is topologically isomorphic to the Fréchet algebra 𝒪(R) of all holomorphic functions on some Riemann surface R. One obtains a characterization of Riemann algebras by a theorem of R. L. Carpenter and the Oka-Weil-Cartan theorem; we show that: a uniform Fréchet algebra 𝒜 whose spectrum is locally compact and connected, is a Riemann algebra if and only if every closed maximal ideal is principal. |
Mathematical Subject Classification 2000
Primary: 46J15
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Milestones
Received: 28 January 1976
Revised: 15 June 1976
Published: 1 August 1976
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Authors |
| Bruno Kramm | |
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