Abstract
RésuméIf f and g are two analytic functions from a domain D of the complex plane into respectively the Banach spaces V+ and V−, we prove that is an analytic multivalued function. From this derives the subharmonicity of the functions where ρ denotes the spectral radius. We apply these results to obtain nice caracterizations of the radical and the socle of a Banach Jordan pair, and finally we get an algebraic structural theorem.
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