Complete holomorphic vector fields on the second dual of Banach space.

Seán Dineen

Displaying similar documents to “Complete holomorphic vector fields on the second dual of Banach space.”

Division Formulas for Holomorphic Mappings with Values in Banach Algebra.

Robert Magnus (1994)

Mathematica Scandinavica

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Lineability and algebrability of the set of holomorphic functions with a given domain of existence

Thiago R. Alves (2014)

Studia Mathematica

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We show that if U is a domain of existence in a separable Banach space, then the set of holomorphic functions on U whose domain of existence is U is lineable and algebrable.

Integral holomorphic functions

Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo (2004)

Studia Mathematica

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We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.