Distinguished preduals of spaces of holomorphic functions.
Christopher Boyd (1993)
Revista Matemática de la Universidad Complutense de Madrid
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Christopher Boyd (1993)
Revista Matemática de la Universidad Complutense de Madrid
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J. M. Isidro (1979)
Revista Matemática Hispanoamericana
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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.
Seán Dineen (1975)
Bulletin de la Société Mathématique de France
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D. García, M. Maestre, P. Rueda (2000)
Studia Mathematica
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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.
Jorge Mujica (1997)
Studia Mathematica
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We show that if U is a balanced open subset of a separable Banach space with the bounded approximation property, then the space ℋ(U) of all holomorphic functions on U, with the Nachbin compact-ported topology, is always bornological.
Seán Dineen (1995)
Extracta Mathematicae
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J. M. Isidro (1979)
Revista Matemática Hispanoamericana
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Richard Aron (1973)
Studia Mathematica
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