Vol. 63, No. 1, 1976

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ISSN: 0030-8730
Caractérisation spectrale des algèbres de Banach commutatives

B. Aupetit

Vol. 63 (1976), No. 1, 23–35
Abstract

Let A be a complex Banach algebra, using subharmonic functions we extend results of Le Page, Hirschfeld and Żelazko in showing the equivalence of the four properties: A∕Rad A is commutative, the spectral radius is uniformly continuous on A, the spectral radius is subadditive on A, the spectral radius is submultiplicative on A.

Mathematical Subject Classification 2000
Primary: 46J05
Milestones
Received: 4 November 1975
Published: 1 March 1976
Authors
B. Aupetit