Amenability and weak amenability of l1-algebras of polynomial hypergroups

被引：15

作者：

Lasser, Rupert ^{[1
,2
]}

机构：

[1] GSF, Natl Res Ctr Environm & Hlth, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

[2] Tech Univ Munich, Ctr Math, D-85748 Garching, Germany

来源：

STUDIA MATHEMATICA | 2007年 / 182卷 / 02期

关键词：

Amenability; Hypergroups; Weak amenability;

D O I：

10.4064/sm182-2-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate amenability and weak amenability of the l(1)-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.

引用

页码：183 / 196

页数：14

共 10 条

[1] BADE WG, 1987, P LOND MATH SOC, V55, P359
[2] Bloom W. R., 1995, Harmonic analysis of probability measures on hypergroups, pvi+601
[3] Bonsall F. F., 1973, Ergeb. Math. Grenzgeb., V80
[4] Chihara T.S., 1978, An Introduction to Orthogonal Polynomials, V13
[5] Ismail M.E.H., 2005, CLASSICAL QUANTUM OR
[6] ORTHOGONAL POLYNOMIALS AND HYPERGROUPS .2. THE SYMMETRICAL CASE
LASSER, R
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 341 (02) : 749 - 770
[7] Lasser R., 1983, Rend. Mat., V3, P185
[8] LASSER R, POINT DERIVATIONS L
[9] SZEGO G, 1959, ORTHOGONAL POLYNOMIA
[10] WOLFENSTETTER S, 1984, THESIS TECHNISCHE U

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