Holomorphic functions on Fréchet spaces with Schauder basis.
Seán Dineen (1995)
Extracta Mathematicae
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Displaying similar documents to “Spaces of holomorphic mappings on Banach spaces with a Schauder basis”
Holomorphic functions on Fréchet spaces with Schauder basis.
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D. García, M. Maestre, P. Rueda (2000)
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We deal with weighted spaces and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.
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José M. Isidro (1990)
Revista Matemática de la Universidad Complutense de Madrid
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A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.
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