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Regularities and subspectra for commutative Banach algebras. (English) Zbl 1152.46044
Summary: We introduce regularities in commutative Banach algebras in such a way that each regularity defines a joint spectrum on the algebra that satisfies the spectral mapping formula.

MSC:
46J20 Ideals, maximal ideals, boundaries
47A13 Several-variable operator theory (spectral, Fredholm, etc.)
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