Weak amenability of Segal algebras

被引:4
作者
Dales, HG [1 ]
Pandey, SS
机构
[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England
[2] RD Univ, Dept Math, Jabalpur, India
关键词
D O I
10.1090/S0002-9939-99-05139-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a locally compact abelian group, and let p is an element of [1, infinity). We show that the Segal algebra S-p(G) is always weakly amenable, but that it is amenable only if G is discrete.
引用
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页码:1419 / 1425
页数:7
相关论文
共 17 条
[1]  
BADE WG, 1987, P LOND MATH SOC, V55, P359
[2]   CLOSED IDEALS IN SUBALGEBRAS OF BANACH ALGEBRAS .1. [J].
BURNHAM, JT .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 32 (02) :551-+
[3]  
DALES HG, IN PRESS BANACH ALGE
[4]   WEAK AMENABILITY OF GROUP-ALGEBRAS OF LOCALLY COMPACT-GROUPS [J].
DESPIC, M ;
GHAHRAMANI, F .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1994, 37 (02) :165-167
[6]   A CHARACTERIZATION OF WEAKLY AMENABLE BANACH-ALGEBRAS [J].
GROENBAEK, N .
STUDIA MATHEMATICA, 1989, 94 (02) :149-162
[7]  
Helemskii A. Ya., 1989, Math. Appl. (Soviet Ser.), V41
[8]  
Hewitt E., 1963, ABSTRACT HARMONIC AN, VI
[9]  
JOHNSON BE, 1972, MEMOIR AM MATH SOC, V127
[10]  
Larsen R., 1964, Michigan Math. J., V11, P369