Weak-Polynomial Convergence on a Banach Space

DOI10.2307/2160323zbMath0795.46042OpenAlexW2003640043MaRDI QIDQ5288050

Ángeles Prieto, Jesús Angel Jaramillo

Publication date: 15 September 1994

Full work available at URL: https://doi.org/10.2307/2160323

zbMATH Keywords

uniform algebraapproximation propertydual Banach space\(\Lambda\)-spacesuper-reflexive Banach spaceequivalent uniformly convex normtight algebras\(\kappa\)-spacenot weakly compact Hankel-type operatorweak polynomial convergence for sequences is different from the weak convergenceweak-polynomial convergence for sequences implies the norm convergence

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (9)

Polynomial topologies on Banach spaces ⋮ Polynomial reflexivity in Banach spaces ⋮ Complete latticeability in vector‐valued sequence spaces ⋮ Bourgain algebras and tightness in some algebras of analytic functions ⋮ Estimates by polynomials ⋮ Continuous homomorphisms between topological algebras of holomorphic germs ⋮ Polynomials on Schreier's space ⋮ Polynomial compactness in Banach spaces ⋮ The positive polynomial Schur property in Banach lattices

Cites Work

• Geometry of Banach spaces. Selected topics
• Weakly \(p\)-compact, \(p\)-Banach-Saks, and super-reflexive Banach spaces
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• A Uniform Algebra of Analytic Functions on a Banach Space
• On finite dimensional subspaces of Banach spaces with local unconditional structure
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• On interpolation by analytic maps in infinite dimensions
• Super-reflexive spaces with bases
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