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1 Analyse IECL - Institut Élie Cartan de Lorraine 2 Technische Hochschule Nürnberg

Abstract : Let A be a complex, commutative unital Banach algebra. We introduce two notions of exponential reducibility of Banach algebra tuples and present an analogue to the Corach-Suárez result on the connection between reducibility in A and in CM A. Our methods are of an analytical nature. Necessary and sufficient geometric-topological conditions are given for reducibility respectively reducibility to the principal component of UnA whenever the spectrum of A is homeomorphic to a subset of C n .





Author: Raymond Mortini - Rudolf Rupp -

Source: https://hal.archives-ouvertes.fr/



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