Search results for "Holomorphic functional calculus"

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Holomorphic mappings of bounded type

1992

Abstract For a Banach space E, we prove that the Frechet space H b(E) is the strong dual of an (LB)-space, B b(E), which leads to a linearization of the holomorphic mappings of bounded type. It is also shown that the holomorphic functions defined on (DFC)-spaces are of uniformly bounded type.

Pure mathematicsMathematics::Complex VariablesApplied MathematicsHolomorphic functional calculusMathematical analysisHolomorphic functionBanach spaceType (model theory)Bounded typeLinearizationFréchet spaceUniform boundednessAnalysisMathematicsJournal of Mathematical Analysis and Applications
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