H∞-extensibility and finite proper holomorphic surjections
Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Tran Ngoc Giao (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Volker Aurich (1983)
Manuscripta mathematica
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Seán Dineen (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nguyen Van Dong, Nguyen Thai Son (1998)
Portugaliae Mathematica
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Bui Dac Tac (1991)
Annales Polonici Mathematici
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results...
Wilhelm Kaup (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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For large classes of complex Banach spaces (mainly operator spaces) we consider orbits of finite rank elements under the group of linear isometries. These are (in general) real-analytic submanifolds of infinite dimension but of finite CR-codimension. We compute the polynomial convex hull of such orbits explicitly and show as main result that every continuous CR-function on has a unique extension to the polynomial convex hull which is holomorphic in a certain sense. This generalizes...
Sławomir Cynk (1990)
Annales Polonici Mathematici
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François Trèves (1969)
Bulletin de la Société Mathématique de France
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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.