The theory of bounding subsets of topological vector spaces without convexity condition
Bayoumi, Aboubakr (1990)
Portugaliae mathematica
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Bayoumi, Aboubakr (1990)
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Seán Dineen (1975)
Bulletin de la Société Mathématique de France
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Aragona, Jorge (1981)
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García, Domingo (1988)
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Leopoldo Nachbin (1986)
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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.
Tullio Valent (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Jan Chmielowski, Grzegorz Łubczonok (1977)
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