Holomorphic functions and Banach-nuclear decompositions of Fréchet spaces

DOI10.4064/sm-113-1-43-54zbMath0831.46048OpenAlexW262115106MaRDI QIDQ4835916

Seán Dineen

Publication date: 5 July 1995

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216158

zbMATH Keywords

Taylor series expansionmonomial expansionBanach spaces with an unconditional basisdecomposition of holomorphic functions on Fréchet spacesFréchet nuclear spaces with basis

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Power series, series of functions of several complex variables (32A05) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

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