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Spectral Continuity and Permanent Sets in Topological Algebras

Edward BeckensteinGeorge BachmanLawrence Narici — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In questa nota X denota un'algebra topologica Hausdorff commutativa, completa, complessa, localmente m-convessa con unità. Si ottengono condizioni sotto le quali le derivazioni di X proiettano X dentro il radicale di X. Inoltre si danno criteri secondo i quali X è un'algebra di Banach. È dimostrato che per Q-algebre imbarilate ("barreled") X, se Ω è una collezione aperta nel piano complesso, allora l'estensione principale di Ω in X è aperta. È anche dimostrato che un Ω semplicemente connesso è permanente...

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