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Ansemil and An Example of a QuasiNormable Frechet
Edward Beekenstein and Extending Nonarchimedean Norms on
Mauro Bianchini SilvaHolomorphy Types Borel Trans
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Functional Analysis, Holomorphy, and Approximation Theory: Proceedings of ...
Limited preview - 2006
approximation property arbitrary assume b.v. space Banach space barrelled barrelled space bornological bounded set bounded subset closed closure compact set compact subset complete contained continuous functions continuous linear Corollary CV X,F defined Definition denote dense differential domain dual element equivalent espaces examples exists finite Frechet space function f given Hausdorff space Hence holomorphic functions holomorphy type homeomorphism I.e. space implies induced inductive limit infinite dimensional integer isomorphism JB-algebra Jordan algebras Lemma Let f linear map linear subspace locally convex space Math metric neighbourhood norm nuclear open set open subset operator plurisubharmonic polynomials Proof Proposition prove pseudoconvex relatively compact Remark resp restriction result S-holomorphic satisfies SC(F Schwartz Schwartz's a.p. semi-norm sequence space F subalgebra suprabarrelled Theorem theory uniformly X,cp