On holomorphic Hahn-Banach extension theorem and properties of bounding and weakly-bounding sets in some metric vector spaces
Bayoumi, Aboubakr (1989)
Portugaliae mathematica
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Bayoumi, Aboubakr (1989)
Portugaliae mathematica
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Volker Aurich (1986)
Annales de l'institut Fourier
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Conditions are given which enable or disable a complex space to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of .
Seán Dineen, Luiza A. Moraes (1992)
Revista Matemática de la Universidad Complutense de Madrid
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In this article we show that a number of apparently different properties coincide on the set of holomorphic functions on a strict inductive limit (all inductive limits are assumed to be countable and proper) of Banach spaces and that they are all satisfied only in the trivial case of a strict inductive limit of finite dimensional spaces. Thus the linear properties of a strict inductive limit of Banach spaces rarely translate themselves into holomorphic properties.
Robert James (1990)
Studia Mathematica
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Seán Dineen (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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R. Edwards (1959)
Studia Mathematica
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Marek Jarnicki, Peter Pflug (2001)
Annales Polonici Mathematici
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Let D,G ⊂ ℂ be domains, let A ⊂ D, B ⊂ G be locally regular sets, and let X:= (D×B)∪(A×G). Assume that A is a Borel set. Let M be a proper analytic subset of an open neighborhood of X. Then there exists a pure 1-dimensional analytic subset M̂ of the envelope of holomorphy X̂ of X such that any function separately holomorphic on X∖M extends to a holomorphic function on X̂ ∖M̂. The result generalizes special cases which were studied in [Ökt 1998], [Ökt 1999], and [Sic 2000].
Arthur Michalak (1997)
Collectanea Mathematica
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Seán Dineen (1975)
Bulletin de la Société Mathématique de France
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