Geodesic
Isomorphy classes of spaces of holomorphic functions on open polydiscs in dual power series spaces
Studia Mathematica, Tome 101 (1991) no. 1, pp. 83-104

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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 the theory of linear operators between Fréchet spaces. 
Manfred Scheve. Isomorphy classes of spaces of holomorphic functions on open polydiscs in dual power series spaces. Studia Mathematica, Tome 101 (1991) no. 1, pp. 83-104. doi: 10.4064/sm-101-1-83-104
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