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Type: Artigo de periódico
Title: Tensor Products Of Silva-holomorphic Functions
Author: Wiermann Paques O.T.
Abstract: Abstract: Let E and F be locally convex complex Hausdorff spaces, let U be a non-void open subset of E and let HS(U;F) be the vector space of all Silva-holomorphic mappings from U to F. In this paper we study the closure of the tensor product Hs(U;C) ⊗ F in (HS(U;V), δ) for different topologies δ. The completed tensor product T(U;C) ⊗e{open} F is calculed for various subspaces T(U;C) of the space HS(U;C), for various natural topologies. For Banach spaces, Aron and Schottenloher [1] and Aron [1] have some results about this for some subspaces Hθ(U;C) of H(U;C), where H(U;C) denotes the vector space of all holomorphic mappings from U to C. © 1979 North-Holland Puhlishing Company.
Rights: fechado
Identifier DOI: 10.1016/S0304-0208(08)70778-3
Date Issue: 1979
Appears in Collections:Unicamp - Artigos e Outros Documentos

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