Bounded point derivations on \(R(X)\) and approximation with simultaneous interpolation

DOI10.1007/BF01158302zbMath0745.46054OpenAlexW2088923237MaRDI QIDQ1814551

Alexander A. Nersesyan

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158302

zbMATH Keywords

peak pointsexistence of bounded point derivationsuniform approximation with simultaneous interpolation

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Interpolation in approximation theory (41A05) Simultaneous approximation (41A28)

Cites Work

• Subalgebras of functions on a Riemann surface
• Point derivations on commutative Banach algebras and estimates of the A(X)-metric norm
• Smoothness of analytic functions at boundary points
• Bounded point derivations on certain Banach algebras
• On bounded point derivations and analytic capacity
• Simultaneous Interpolation and Approximation in Topological Linear Spaces
• Bounded Point Derivations and Representing Measures on R(X)
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