Holomorphic functions on Fréchet spaces with Schauder basis.
Seán Dineen (1995)
Extracta Mathematicae
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Seán Dineen (1995)
Extracta Mathematicae
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Matos, Mário C. (1988)
Portugaliae mathematica
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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.
Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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Richard Aron (1973)
Studia Mathematica
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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.
Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
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Richard M. Aron, Josip Globevnik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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