6533b838fe1ef96bd12a503b

RESEARCH PRODUCT

The spectra of some algebras of analytic mappings

Mary Lilian LourençoLuiza A. MoraesOtilia W. PaquesDomingo García

subject

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

description

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.

10.1016/s0019-3577(99)80031-7http://dx.doi.org/10.1016/S0019-3577(99)80031-7