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Cartan-Thullen theorem for domains spread over ...-spaces.

Martin Schottenloher (1983)

Journal für die reine und angewandte Mathematik

Characterization of nuclear Fréchet spaces in which every bounded set is polar

Seán Dineen, Reinhold Meise, Dietmar Vogt (1984)

Bulletin de la Société Mathématique de France

Compact homomorphisms between algebras of analytic functions

Richard Aron, Pablo Galindo, Mikael Lindström (1997)

Studia Mathematica

We prove that every weakly compact multiplicative linear continuous map from $H^{\infty} (D)$ into $H^{\infty} (D)$ is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra $H^{\infty} (B_{E})$ , where $B_{E}$ is the open unit ball of an infinite-dimensional Banach space E.

Compact polynomials between Banach spaces.

Raquel Gonzalo, Jesús Angel Jaramillo (1993)

Extracta Mathematicae

Compct polynomials on non-Archimedean Banach spaces

Dinamerico P. Jr. Pombo (1989)

Revista colombiana de matematicas

Complementation in spaces of symmetric tensor products and polynomials

Fernando Blasco (1997)

Studia Mathematica

For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.

Complementation in spaces of symmetric tensor products and polynomials.

Fernando Blasco (1996)

Extracta Mathematicae

Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].

Complete holomorphic vector fields on the second dual of Banach space.

Seán Dineen (1986)

Mathematica Scandinavica

Complete polynomial vector fields in a ball.

Ben Yousif, N.M. (2004)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Complete Spaces of Vector-Valued Holomorphic Germs.

J. Bonet, P. Domanski, J. Mujica (1994)

Mathematica Scandinavica

Complex dynamical systems and the geometry of domains in Banach spaces [Book]

Mark Elin, Simeon Reich, David Shoikhet (2004)

Complex dynamical systems on bounded symmetric domains.

Khatskevich, Victor, Reich, Simeon, Shoikhet, David (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Complex Homomorphisms of the Algebras of Holomorphic Functions on Fréchet Spaces.

Jorge Mujica (1979)

Mathematische Annalen

Composition operators between weighted spaces of holomorphic functions on Banach spaces.

García, Domingo, Maestre, Manuel, Sevilla-Peris, Pablo (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

Concerning holomorphy types for Banach spaces

Leopoldo Nachbin (1970)

Studia Mathematica

Continuidad De Polinomios En Espacios Vectoriales Topologicos.

Guillermo Restrepo S. (1979)

Revista colombiana de matematicas

Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group

Do Duc Thai, Dinh Huy Hoang (1999)

Annales Polonici Mathematici

We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection $π_{1} : V \to Γ$ is finite and proper, then $R_{V} : O (Γ \times G) \to I m R_{V} \subset O (V)$ has a right inverse

Continuous Reinhardt domains from a Jordan viewpoint

L. L. Stachó (2008)

Studia Mathematica

As a natural extension of bounded complete Reinhardt domains in $ℂ^{N}$ to spaces of continuous functions, continuous Reinhardt domains (CRD) are bounded open connected solid sets in commutative C*-algebras with respect to the natural ordering. We give a complete parametric description for the structure of holomorphic isomorphisms between CRDs and characterize the partial Jordan triple structures which can be associated with some CRDs. On the basis of these results, we test two conjectures concerning...

Convexity in complex analysis

Seán Dineen (1995)

Banach Center Publications

Convolution operators in infinite dimension.

Nguyen Van Khue, Nguyen Dinh Sang (1994)

Portugaliae Mathematica

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