On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
Mário C. Matos (1978)
Mathematische Zeitschrift
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Displaying similar documents to “Correction to 'On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space'.”
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
Counterexamples in Holomorphic Functions on Nuclear Fréchet Spaces.
Dietmar Vogt, Reinhold Meise (1983)
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The property (H) and (Ω) with the exponential representation of holomorphic functions.
Nguyen Minh Ha, Nguyen Van Khue (1994)
Publicacions Matemàtiques
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The main aim of this paper is to prove that a nuclear Fréchet space E has the property (H) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
(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).
αμ-duals and holomorphic (nuclear) mappings.
Manjul Gupta, P. K. Kamtham, G. M. Deheri (1985)
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Holomorphic functions on fully nuclear spaces
Philip J. Boland, Seán Dineen (1978)
Bulletin de la Société Mathématique de France
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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...