Some apparent connection between Baxter and averaging operators

DOI10.1016/0022-247X(76)90046-9zbMath0446.47025OpenAlexW2076828237MaRDI QIDQ1145877

Nguyen-Huu-Bong

Publication date: 1976

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(76)90046-9

zbMATH Keywords

averaging operatorBaxter operator

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General theory of topological algebras (46H05) Special classes of linear operators (47B99)

Related Items

Averaging algebras, rewriting systems and Gröbner–Shirshov bases ⋮ Averaging algebras, Schröder numbers, rooted trees and operads ⋮ Construction of free commutative Reynolds algebras by Gröbner-Shirshov bases ⋮ 𝒪-Operators of Loday Algebras and Analogues of the Classical Yang–Baxter Equation ⋮ Reynolds algebras and their free objects from bracketed words and rooted trees ⋮ Generalized Shuffles Related to Nijenhuis andTD-Algebras

Cites Work

• Averaging and Reynolds operators on Banach algebras. II: Spectral properties of averaging operators
• Baxter operators and endomorphisms on Banach algebras
• Brief Proof of a Theorem of Baxter.
• Some properties of baxter operators
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