Averaging and Reynolds operators on Banach algebras. I: Representation by derivations and antiderivations

DOI10.1016/0022-247X(66)90013-8zbMath0137.10202OpenAlexW2037245981MaRDI QIDQ2521387

John Boris Miller

Publication date: 1966

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(66)90013-8

zbMATH Keywords

functional analysis

Related Items (14)

Cohomologies of Reynolds operators on n-Lie algebras ⋮ Rota's classification problem, rewriting systems and Gröbner-Shirshov bases ⋮ Averaging algebras, rewriting systems and Gröbner–Shirshov bases ⋮ Über Reynoldsoperatoren und „Mittelwert bildende”︁ Operatoren auf halbeinfachenF-Banachverbandsalgebren ⋮ Averaging algebras, Schröder numbers, rooted trees and operads ⋮ Construction of free commutative Reynolds algebras by Gröbner-Shirshov bases ⋮ Nonabelian embedding tensors ⋮ Free operated monoids and rewriting systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Reynolds algebras and their free objects from bracketed words and rooted trees ⋮ Averaging and Reynolds operators on Banach algebras. II: Spectral properties of averaging operators ⋮ Averaging and Reynolds operators in Banach algebras. III: Spectral properties of Reynolds operators ⋮ A formula for the resolvent of a Reynolds operator

Cites Work

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• Averaging operators on \(C_ \infty (X)\)
• On the representation of averaging operators
• On the structure of averaging operators
• Some aspects of Baxter's functional equation
• Characterizations of conditional expectation as a transformation on function spaces
• SPECTRAL THEORY OF SMOOTHING OPERATORS
• Mübius Transforms of Reynolds Operators.
• Averaging operators on the ring of continuous functions on a compact space

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