6533b7d7fe1ef96bd1268fac

RESEARCH PRODUCT

Vector-valued meromorphic functions

Manuel MaestreEnrique JordáJosé Bonet

subject

Discrete mathematicsCompact spaceGeneral MathematicsProduct (mathematics)Regular polygonConvex setCountable setCharacterization (mathematics)Complete metric spaceMeromorphic functionMathematics

description

A locally complete locally convex space E satisfies that every weakly meromorphic function defined on an open subset of \( \mathbb{C} \) with values in E is meromorphic if and only if E does not contain a countable product of copies of \( \mathbb{C} \). A characterization of locally complete spaces in the spirit of known characterizations of the (metric) convex compactness property is also given.

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