On interpolation by analytic maps in infinite dimensions

DOI10.1017/S0305004100054505zbMath0369.46051MaRDI QIDQ4148377

Josip Globevnik

Publication date: 1978

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Spaces of vector- and operator-valued functions (46E40) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Interpolation in approximation theory (41A05) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (10)

Boundaries for algebras of holomorphic functions on Marcinkiewicz sequence spaces ⋮ On boundaries on the predual of the Lorentz sequence space ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ Boundaries for algebras of holomorphic functions. ⋮ Weak-Polynomial Convergence on a Banach Space ⋮ Holomorphic functions with distinguished properties on infinite dimensional spaces ⋮ Weighted vector-valued holomorphic functions on Banach spaces ⋮ Geometry of the Marcinkiewicz sequence space ⋮ Numerical boundaries for some classical Banach spaces ⋮ Complex extreme points in Marcinkiewicz spaces

Cites Work

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• Analytic functions whose range is dense in a ball
• The range of vector-valued analytic functions
• Dentability and extreme points in Banach spaces
• On operators which attain their norm
• Shorter Notes: The Rudin-Carleson Theorem for Vector-Valued Functions
• Some Linear Topological Properties of Separable Function Algebras
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space

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