Various amenability properties of the \(L^1\)-algebra of polynomial hypergroups and applications

DOI10.1016/J.CAM.2009.02.046zbMath1182.43008OpenAlexW2062303388MaRDI QIDQ1035633

Rupert Lasser

Publication date: 4 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.046

zbMATH Keywords

orthogonal polynomialsamenabilityhypergroups

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Harmonic analysis on hypergroups (43A62) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (9)

Module Connes amenability of hypergroup measure algebras ⋮ Configurations and invariant nets for amenable hypergroups and related algebras ⋮ \(\varphi \)-biprojectivity of Banach algebras with applications to hypergroup algebras ⋮ Harmonic analysis of little \(q\)-Legendre polynomials ⋮ Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials ⋮ Approximate amenability and contractibility of hypergroup algebras ⋮ Reiter's condition for amenable hypergroups ⋮ Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials ⋮ Orthogonal polynomials and point and weak amenability of \(\ell ^1\)-algebras of polynomial hypergroups

Cites Work

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• Reiter's condition \(P_1\) and approximate identities for polynomial hypergroups
• Amenable hypergroups
• Harmonic analysis of probability measures on hypergroups
• Hypergroups of compact type
• A new characterization of ultraspherical polynomials
• The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
• Orthogonal Polynomials and Hypergroups II--The Symmetric Case
• Amenability and weak amenability of l¹-algebras of polynomial hypergroups
• Amenability of Banach algebras

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