Spaces of holomorphic mappings on Banach spaces with a Schauder basis

• Autorzy: Jorge Mujica
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46E50: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces
• 46B15: Summability and bases
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 122
• Numer: 2
• Strony: 139-151

Daty

wydano

1997

otrzymano

1995-10-26

Twórcy

autor

Jorge Mujica

• Instituto de Matemática, Universidade Estadual de Campinas, Caixa Postal 6065, 13081-970 Campinas, SP, Brazil

Bibliografia

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