Nuclear Fréchet spaces of entire functions with transitive differentiation

DOI10.1007/BF02786592zbMath0801.46004MaRDI QIDQ1317290

Aharon Atzmon

Publication date: 24 November 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

closed invariant subspacedivision theorem for analytic functionsHilbert space of entire functions with reproducing kernel on which the differentiation operator is continuous and transitivenuclear Fréchet space of entire functions on which the differentiation operator is continuous and transitivetransitive differentiation operator

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items

Countable inductive limits of Fréchet algebras ⋮ Invariant subspaces for non-normable Fréchet spaces ⋮ Invariant subspaces for Fréchet spaces without continuous norm ⋮ Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences

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