THE BOUNDED APPROXIMATION PROPERTY FOR THE WEIGHTED SPACES OF HOLOMORPHIC MAPPINGS ON BANACH SPACES

DOI10.1017/S0017089517000118zbMath1398.46004OpenAlexW2752483164MaRDI QIDQ4636385

Deepika Baweja, Manjul Gupta

Publication date: 19 April 2018

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

Full work available at URL: https://doi.org/10.1017/s0017089517000118

zbMATH Keywords

bounded approximation propertyinfinite-dimensional holomorphyweighted spaces of holomorphic functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28) Spaces of linear operators; topological tensor products; approximation properties (46A32) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (2)

Characterizations of approximation properties defined by operator ideals in weighted Banach spaces of holomorphic functions ⋮ The Bounded Approximation Property for the Weighted (LB)-Spaces of Holomorphic Mappings on Banach Spaces

Cites Work

• Holomorphic mappings of bounded type
• Weighted spaces of holomorphic functions on balanced domains
• Weakly uniformly continuous holomorphic functions and the approximation property
• Approximation of holomorphic mappings on infinite dimensional spaces
• Linearization of holomorphic mappings on locally convex spaces
• Linearization of weighted (LB)-spaces of entire functions on Banach spaces
• Weighted vector-valued holomorphic functions on Banach spaces
• The bounded approximation property for the predual of the space of bounded holomorphic mappings
• A Projective Description of Weighted Inductive Limits
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• ON THE BANACH-DIEUDONNÉ THEOREM FOR SPACES OF HOLOMORPHIC FUNCTIONS
• The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces
• The second duals of certain spaces of analytic functions
• On a Theorem of Dixmier.
• Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
• Produits tensoriels topologiques et espaces nucléaires
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