On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces
Nguyen Van Khue (1984)
Annales Polonici Mathematici
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Nguyen Van Khue (1984)
Annales Polonici Mathematici
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Reinhold Meise, Dietmar Vogt (1983)
Studia Mathematica
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Dietmar Vogt, Reinhold Meise (1983)
Mathematische Zeitschrift
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Reinhold Meise, Dietmar Vogt (1986)
Studia Mathematica
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Nguyen Dinh Lan (2000)
Publicacions Matemàtiques
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We study the structure of spaces of germs of holomorphic functions on compact sets in Fréchet spaces for (LB) as well as for (Ω,Ω).
Le Mau Hui, Khue, Nguyen Van Khue, Bui Quoc Hoan (2004)
Portugaliae Mathematica. Nova Série
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Manjul Gupta, P. K. Kamtham, G. M. Deheri (1985)
Collectanea Mathematica
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Leopoldo Nachbin (1986)
Extracta Mathematicae
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Dietmar Vogt (2013)
Annales Polonici Mathematici
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It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.
N. Khue, B. Tac (1990)
Studia Mathematica
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Ralf Hollstein (1986)
Collectanea Mathematica
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Roberto Luiz Soraggi (1990)
Revista Matemática de la Universidad Complutense de Madrid
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