Weighted \((LB)\)-spaces of holomorphic functions: \(\nu H(G)=\nu_{0}H(G)\) and completeness of \(\nu_{0}H(G)\)

DOI10.1016/j.jmaa.2005.10.075zbMath1119.46028OpenAlexW2155980741MaRDI QIDQ855396

José Bonet, Klaus Dieter Bierstedt

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.075

zbMATH Keywords

projective hullholomorphic functionsweighted inductive limits

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Inductive and projective limits in functional analysis (46M40)

Related Items (8)

A note about Volterra operators on weighted Banach spaces of entire functions ⋮ Weighted inductive limits of holomorphic functions with \(o\)-growth condition ⋮ Ergodicity of commuting multioperators and holomorphic multioperators of multiplication ⋮ Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces ⋮ The algebraic equalities and their topological consequences in weighted spaces ⋮ Projective limits of weighted LB-spaces of holomorphic functions ⋮ PLB-spaces of holomorphic functions with logarithmic growth conditions ⋮ Classical operators in weighted Banach spaces of holomorphic functions

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