Displaying similar documents to “Unconditionally converging holomorphic mappings between Banach spaces”

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...

Unconditionally convergent polynomials in Banach spaces and related properties.

M.ª Teresa Fernández Unzueta (1997)

Extracta Mathematicae

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Our aim is to introduce a new notion of unconditionallity, in the context of polynomials in Banach spaces, that looks directly to the polynomial topology defined on the involved spaces. This notion allows us to generalize some well-known relations of duality that appear in the linear context.

Polynomials and geometry of Banach spaces.

Joaquín M. Gutiérrez, Jesús A. Jaramillo, José G. Llavona (1995)

Extracta Mathematicae

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In this paper we survey a large part of the results on polynomials on Banach spaces that have been obtained in recent years. We mainly look at how the polynomials behave in connection with certain geometric properties of the spaces.

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.

Analytic functions on c.

Richard M. Aron, Josip Globevnik (1989)

Revista Matemática de la Universidad Complutense de Madrid

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