Absolutely convergent series in the canonical inductive limits

DOI10.1007/BF01157035zbMath0631.46004OpenAlexW2087651054MaRDI QIDQ1094623

Sergej N. Melikhov

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157035

zbMATH Keywords

absolutely convergentinductive limit of a sequence of normed spaces

Mathematics Subject Classification ID

Inductive and projective limits in functional analysis (46M40) Summability and bases in topological vector spaces (46A35)

Related Items (6)

Weighted inductive limits of holomorphic functions with \(o\)-growth condition ⋮ Dual characterization of absolutely representing systems in inductive limits of Banach spaces ⋮ A right inverse operator for a convolution operator ⋮ Dual of the function algebra 𝐴^{-∞}(𝐷) and representation of functions in Dirichlet series ⋮ Coefficients of exponential series for analytic functions and the Pommiez operator ⋮ Weak property \((Y_0)\) and regularity of inductive limits

Cites Work

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• On Bounded Sets in Inductive Limits of Normed Spaces
• Representing systems
• Bounded Sets in Inductive Limits

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