The Cartan-Thullen theorem for Banach spaces
Seán Dineen (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Strict continuous homomorphisms on spaces of bounded holomorphic functions.”
The Cartan-Thullen theorem for Banach spaces
Bounded holomorphic mappings and the compact approximation property in Banach spaces.
Çalişkan, Erhan (2004)
Portugaliae Mathematica. Nova Série
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Factorization of weakly continuous holomorphic mappings
Manuel González, Joaqín Gutiérrez (1996)
Studia Mathematica
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We prove a basic property of continuous multilinear mappings between topological vector spaces, from which we derive an easy proof of the fact that a multilinear mapping (and a polynomial) between topological vector spaces is weakly continuous on weakly bounded sets if and only if it is weakly uniformly} continuous on weakly bounded sets. This result was obtained in 1983 by Aron, Hervés and Valdivia for polynomials between Banach spaces, and it also holds if the weak topology is replaced...
Bounded analytic sets in Banach spaces
Volker Aurich (1986)
Annales de l'institut Fourier
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Conditions are given which enable or disable a complex space to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of .
The bidual of the space of polynomials on a Banach space.
J. A. Jaramillo, A. Prieto, I. Zalduendo (1994)
Extracta Mathematicae
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The holomorphic functional calculus as an operational calculus
L. Waelbroeck (1982)
Banach Center Publications
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Integral holomorphic functions
Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo (2004)
Studia Mathematica
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We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
Algebras of real analytic functions; homorphisms and bounding sets.
P. Biström, J. A. Jaramillo, M. Lindström (1993)
Extracta Mathematicae
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In this paper weare interested in subsets of a real Banach space on which different classes of functions are bounded.
Polynomial characterizations of Banach spaces not containing l.
Joaquín M. Gutiérrez (1991)
Extracta Mathematicae
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Many properties of Banach spaces can be given in terms of (linear bounded) operators. It is natural to ask if they can also be formulated in terms of polynomial, holomorphic and continuous mappings. In this note we deal with Banach spaces not containing an isomorphic copy of l, the space of absolutely summable sequences of scalars.