An operator representation for weighted spaces of vector valued homomorphic functions

DOI10.1007/BF03322097zbMath0942.46023OpenAlexW2008690767MaRDI QIDQ1306273

Silke Holtmanns, Klaus Dieter Bierstedt

Publication date: 23 August 2000

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322097

zbMATH Keywords

weighted space of holomorphic functionsquasibarrelled spacelinear topological isomorphism

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Spaces of bounded analytic functions of one complex variable (30H05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Duality theory for topological vector spaces (46A20) Spaces of linear operators; topological tensor products; approximation properties (46A32) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (3)

Validated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbits ⋮ Ergodicity of commuting multioperators and holomorphic multioperators of multiplication ⋮ Complete weights and \(v\)-peak points of spaces of weighted holomorphic functions

Cites Work

• Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben
• Dual density conditions in (DF)-spaces. I
• Weighted spaces of holomorphic functions on balanced domains
• Vitushkin's localization operator and holomorphic functions in polydiscs
• A Projective Description of Weighted Inductive Limits
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