The properties \((DN)\) and \((DN_\varphi)\) of spaces of germs of holomorphic functions

zbMath0986.46023MaRDI QIDQ1577609

Nguyen Van Hao, Bui Dac Tac

Publication date: 27 August 2000

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

space of germs of holomorphic functionsabsolute basisasymptotically normable Fréchet spaceasymptotically normable Fréchet-Hilbertizable spaceFréchet \((DN)\)-spacelinear topologial invariantspolynomially convex compact set

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) (Spaces of) multilinear mappings, polynomials (46G25) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

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