The bounded approximation property for the predual of the space of bounded holomorphic mappings

• Autorzy: Erhan Çalışkan
• Języki publikacji: EN

Abstrakty

EN

When U is the open unit ball of a separable Banach space E, we show that $G^{∞}(U)$, the predual of the space of bounded holomorphic mappings on U, has the bounded approximation property if and only if E has the bounded approximation property.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46E50: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces
• 46G25: (Spaces of) multilinear mappings, polynomials
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 3
• Strony: 225-233

Daty

wydano

2006

Twórcy

autor

Erhan Çalışkan

• Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Davutpaşa, 34210 Esenler, Istanbul, Turkey

Identyfikatory

DOI

10.4064/sm177-3-3