Linearization of weighted (LB)-spaces of entire functions on Banach spaces

DOI10.1007/S13398-011-0049-ZzbMath1273.46027OpenAlexW1985761513MaRDI QIDQ1935062

María José Beltrán

Publication date: 30 January 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0049-z

zbMATH Keywords

linearizationpredual(LB)-spaceweighted space of holomorphic functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Duality theory for topological vector spaces (46A20) Spaces of linear operators; topological tensor products; approximation properties (46A32) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (6)

Characterizations of approximation properties defined by operator ideals in weighted Banach spaces of holomorphic functions ⋮ The Compact Approximation Property for Weighted Spaces of Holomorphic Mappings ⋮ THE BOUNDED APPROXIMATION PROPERTY FOR THE WEIGHTED SPACES OF HOLOMORPHIC MAPPINGS ON BANACH SPACES ⋮ Weighted vector-valued holomorphic functions on Banach spaces ⋮ The Bounded Approximation Property for the Weighted (LB)-Spaces of Holomorphic Mappings on Banach Spaces ⋮ Absolute Schauder decompositions and linearization of holomorphic mappings of bounded type

Cites Work

• Holomorphic mappings of bounded type
• Compact holomorphic mappings on Banach spaces and the approximation property
• Weighted spaces of holomorphic functions on balanced domains
• Linearization of functions
• An operators representation for weighted inductive limits of spaces of vector valued holomorphic functions.
• Duality and the injective tensor product
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• A Projective Description of Weighted Inductive Limits
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions
• Weakly Compact Composition Operators on Locally Convex Spaces
• Complete Spaces of Vector-Valued Holomorphic Germs.
• Holomorphic Germs on Tsirelson's Space
• On a Theorem of Dixmier.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Linearization of weighted (LB)-spaces of entire functions on Banach spaces