WEAK CONTINUITY OF MULTILINEAR MAPPINGS ON TSIRELSON'S SPACE

DOI10.1080/16073606.1998.9632038zbMath0956.46032OpenAlexW1992123745MaRDI QIDQ4262039

Klaus Floret, Raymundo Alencar

Publication date: 2 March 2001

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1998.9632038

zbMATH Keywords

Tsirelson's spacespaces of polynomialsspaces of multilinear mappingsPełczyński property \(P_\alpha\)spaces of holomorphic vector functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Duality and reflexivity in normed linear and Banach spaces (46B10) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (4)

Factorization and coincidence theorems for generalized adjoints ⋮ The spectra of some algebras of analytic mappings ⋮ Preduals of Spaces of Vector-Valued Holomorphic Functions ⋮ Geometry of integral polynomials, \(M\)-ideals and unique norm preserving extensions

Cites Work

• Weak-strong continuity of multilinear mappings and the Pełczyǹski-Pitt theorem
• Weakly continuous mappings on Banach spaces
• \(Q\)-reflexive Banach spaces
• Polynomial reflexivity in Banach spaces
• Holomorphic functions on \((C_ 0,X_ b)\)-modules
• A Note on Banach Spaces Containing ℓ₁
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