0000000000873420

AUTHOR

Otilia W. Paques

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The spectra of some algebras of analytic mappings

1999

Abstract Let E be a Banach space with the approximation property and let F be a Banach algebra with identity. We study the spectrum of the algebra H b(E, F) of all holomorphic mappings f : E → F that are bounded on the bounded subsets of E.

Discrete mathematicsPure mathematicsMathematics(all)Mathematics::Functional AnalysisApproximation propertyGeneral MathematicsSpectrum (functional analysis)Holomorphic functional calculusBanach spaceHolomorphic functionBanach manifoldBounded functionBanach *-algebraMathematicsIndagationes Mathematicae
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