A Hahn-Banach Theorem for Holomorphic Mappings on Locally Convex Spaces.
Ralf Hollstein (1984/85)
Mathematische Zeitschrift
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Ralf Hollstein (1984/85)
Mathematische Zeitschrift
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Seán Dineen (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
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.
N. Khue, B. Tac (1990)
Studia Mathematica
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Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A. Kriegl, L. D. Nel (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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