Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.

DOI10.1515/crll.1985.363.59zbMath0574.46043OpenAlexW104068265MaRDI QIDQ3694077

Publication date: 1985

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002203014

zbMATH Keywords

nuclearity localized ideal Köthe matrix zero variety (DFN)-algebra increasing sequence of plurisubharmonic functions Schauder basis of exponential polynomials sequence spaces representation structure theory of nuclear Fréchet spaces translation invariant closed linear subspaces of certain Fréchet spaces of entire functions

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) 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) Summability and bases in topological vector spaces (46A35)

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