R-Schauder decompositions. Some applications.

P. Galindo; M. Maestre; P. Rueda

Displaying similar documents to “R-Schauder decompositions. Some applications.”

Holomorphic functions on Fréchet spaces with Schauder basis.

Seán Dineen (1995)

Extracta Mathematicae

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On non-primary Fréchet Schwartz spaces

J. Díaz (1997)

Studia Mathematica

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Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic...

On τ-completeness of H(U).

J. M. Isidro (1979)

Revista Matemática Hispanoamericana

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Unconditional bases and the Radon-Nikodym property

Robert James (1990)

Studia Mathematica

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On non-isomorphism of Banach spaces of holomorphic functions

G. Henkin (1970)

Studia Mathematica

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Schauder decompositions in dual and bidual spaces

M. Gupta, P. K. Kamthan, S. K. Ray (1976)

Colloquium Mathematicae

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Two-norm spaces and decompositions of Banach spaces, I

P. Subramanian (1972)

Studia Mathematica

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Preduals of spaces of vector-valued holomorphic functions

Christopher Boyd (2003)

Czechoslovak Mathematical Journal

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For $U$ a balanced open subset of a Fréchet space $E$ and $F$ a dual-Banach space we introduce the topology $τ_{γ}$ on the space $ℋ (U, F)$ of holomorphic functions from $U$ into $F$ . This topology allows us to construct a predual for $(ℋ (U, F), τ_{δ})$ which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic...

Holomorphic functions on strict inductive limits of Banach spaces.

Seán Dineen, Luiza A. Moraes (1992)

Revista Matemática de la Universidad Complutense de Madrid

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In this article we show that a number of apparently different properties coincide on the set of holomorphic functions on a strict inductive limit (all inductive limits are assumed to be countable and proper) of Banach spaces and that they are all satisfied only in the trivial case of a strict inductive limit of finite dimensional spaces. Thus the linear properties of a strict inductive limit of Banach spaces rarely translate themselves into holomorphic properties.