Holomorphic functions and Banach-nuclear decompositions of Fréchet spaces

Seán Dineen

Displaying similar documents to “Holomorphic functions and Banach-nuclear decompositions of Fréchet spaces”

A note on p-nuclear operators.

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W. Wojtyński (1970)

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Holomorphic functions on Fréchet spaces with Schauder basis.

Seán Dineen (1995)

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J. Holub (1972)

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M. de Wilde (1972)

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Ed Dubinsky (1972)

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Isomorphy classes of spaces of holomorphic functions on open polydiscs in dual power series spaces

Manfred Scheve (1991)

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Let Λ_R(α) be a nuclear power series space of finite or infinite type with lim_{j→∞} (1/j) log α_j = 0. We consider open polydiscs D_a in Λ_R(α)'_b with finite radii and the spaces H(D_a) of all holomorphic functions on D_a under the compact-open topology. We characterize all isomorphy classes of the spaces {H(D_a) | a ∈ Λ_R(α), a > 0}. In the case of a nuclear power series space Λ₁(α) of finite type we give this characterization in terms of the invariants (Ω̅ ) and (Ω̃ ) known from...

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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)

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