Fr茅chet algebras, formal power series, and analytic structure

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• 作者：S.R. Patel ^{srpatel.math@gmail.com}
• 关键词：Fré ; chet algebra of power series ; Arens&ndash ; Michael representation ; Closed maximal ideal ; Analytic disc
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：15 October, 2012
• 卷：394
• 期：2
• 页码：468-474
• 文件大小：244 K

摘要

The notion of locally Riemann algebras is introduced. By studying the ideal structure of Fr茅chet algebras, we provide sufficient conditions for the existence of local analytic structure in the spectrum of a Fr茅chet algebra, and, as a welcome bonus, we characterize locally Riemann algebras.