Holomorphic Approximation in Fréchet Spaces with Basis

DOI10.1112/jlms/s2-29.1.113zbMath0546.46022OpenAlexW1996524175MaRDI QIDQ3336196

Jorge Mujica

Publication date: 1984

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-29.1.113

zbMATH Keywords

plurisubharmonic functionscompact-open topologyapproximation theoremRiemann domainscompact-ported topologyFréchet-Schwartz spacespace of all holomorphic functionsconnected pseudoconvex open subsetFréchet space with a Schauder basis

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

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