Holomorphic functions on fully nuclear spaces
Philip J. Boland, Seán Dineen (1978)
Bulletin de la Société Mathématique de France
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Displaying similar documents to “Holomorphic functions of uniformly bounded type on nuclear Fréchet spaces”
Holomorphic functions on fully nuclear spaces
Characterization of nuclear Fréchet spaces in which every bounded set is polar
Seán Dineen, Reinhold Meise, Dietmar Vogt (1984)
Bulletin de la Société Mathématique de France
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(LB)-structure of spaces of germs of holomorphic functions.
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).
Structure of spaces of holomorphic functions on infinite dimensional polydiscs
Reinhold Meise, Dietmar Vogt (1983)
Studia Mathematica
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Polynomials and multilinear forms on fully nuclear spaces
Philipp J. Boland (1977-1978)
Séminaire Paul Krée
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Counterexamples in Holomorphic Functions on Nuclear Fréchet Spaces.
Dietmar Vogt, Reinhold Meise (1983)
Mathematische Zeitschrift
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Analytic functionals on fully nuclear spaces
Seán Dineen (1982)
Studia Mathematica
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On the extension of holomorphic functions on a locally convex space
Nguyen Van Khue (1983)
Annales Polonici Mathematici
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Linear topological invariants of spaces of holomorphic functions in infinite dimension.
Nguyen Minh Ha, Le Mau Hai (1995)
Publicacions Matemàtiques
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It is shown that if E is a Frechet space with the strong dual E* then H(E*), the space of holomorphic functions on E* which are bounded on every bounded set in E*, has the property (DN) when E ∈ (DN) and that H(E*) ∈ (Ω) when E ∈ (Ω) and either E* has an absolute basis or E is a Hilbert-Frechet-Montel space. Moreover the complementness of ideals J(V) consisting of holomorphic functions on E* which are equal to 0 on V in H(E*) for every nuclear Frechet space E with E ∈ (DN) ∩ (Ω) is stablished...
Power series spaces of finite type and related nuclearities
M. Ramanujan, T. Terzioglu (1975)
Studia Mathematica
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