Multiplicativity of the uniform norm and independent functions

DOI10.1017/S0004972700028264zbMath0713.46017MaRDI QIDQ3198346

A. Guyan Robertson

Publication date: 1990

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

continuous distributionsBorel probability measuremeasure-preserving transformationmultiplicative norm for independent functionsspace of continuous real- valued functions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Probabilistic measure theory (60A10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• Peano curves and smoothness of functions
• A noncommutative Korovkin theorem
• A Korovkin theorem for Schwarz maps on \(C^*\)-algebras
• Korovkin shadows and Korovkin systems in C(S)-spaces
• Continuous Function Spaces Isometric to Hilbert Space
• Independence of events and of random variables
• A remark on a paper of B. R. Gelbaum

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