Analytic functions in Banach spaces
Jacek Bochnak (1970)
Studia Mathematica
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Jacek Bochnak (1970)
Studia Mathematica
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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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Richard M. Aron, Josip Globevnik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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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.
Matos, Mário C. (1988)
Portugaliae mathematica
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J. Morrell, J. Retherford (1972)
Studia Mathematica
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Arthur Michalak (1997)
Collectanea Mathematica
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C. Piñeiro (1994)
Collectanea Mathematica
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