Analytic Structure in Some Analytic Function Algebras

DOI10.2307/1997080zbMath0295.46077OpenAlexW4237389244MaRDI QIDQ4048043

William R. Zame

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997080

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20) Stein spaces (32E10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The local maximum modulus principle
• Holomorphic completions, analytic continuation, and the interpolation of semi-norms
• Uniform approximation on smooth curves
• Point derivations on function algebras
• On bounded point derivations and analytic capacity
• Point derivations and analytic structure in the spectrum of a Banach algebra
• Polynomial approximation and analytic structure
• Algebras of analytic functions in the plane
• Analyticity in Certain Banach Algebras
• On envelops of holomorphy
• Analytic Disks in Maximal Ideal Spaces
• Compact Holomorphically Convex Subsets of a Stein Manifold
• Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n
• Homomorphisms of Rings of Germs of Analytic Functions
• Algebras of Analytic Germs