Holomorphic mappings of bounded type

DOI10.1016/0022-247X(92)90339-FzbMath0806.46047OpenAlexW2062005862MaRDI QIDQ1191786

Manuel Maestre, Domingo García, Pablo Galindo

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90339-f

zbMATH Keywords

(DFC)-spaces are of uniformly bounded typelinearization of the holomorphic mappings of bounded typestrong dual of an (LB)-space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20)

Related Items (13)

Linearization of multipolynomials and applications ⋮ Quasi-normable preduals of spaces of holomorphic functions ⋮ Linearization of holomorphic mappings on \(C(K)\)-spaces ⋮ The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I ⋮ Linearization of weighted (LB)-spaces of entire functions on Banach spaces ⋮ On holomorphic mappings with compact type range ⋮ Convolution operators on spaces of entire functions ⋮ Gantmacher Type Theorems for Holomorphic Mappings ⋮ ON THE BANACH-DIEUDONNÉ THEOREM FOR SPACES OF HOLOMORPHIC FUNCTIONS ⋮ THE BOUNDED APPROXIMATION PROPERTY FOR THE WEIGHTED SPACES OF HOLOMORPHIC MAPPINGS ON BANACH SPACES ⋮ Factorization of holomorphic mappings on $C(K)$-spaces ⋮ Extendability and domains of holomorphy in infinite-dimensional spaces ⋮ Absolute Schauder decompositions and linearization of holomorphic mappings of bounded type

Cites Work

• On the distinguished character of the function spaces of holomorphic mappings of bounded type
• (DCF)-Räume und lokalkonvexe Tensorprodukte
• Complex homomorphisms of the algebras of holomorphic functions on Frechet spaces
• Linearization of holomorphic mappings on locally convex spaces
• Sur un théorème de Banach
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• On a Theorem of Dixmier.
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