Weak*-closedness of subspaces of Fourier-Stieltjes algebras and weak*-continuity of the restriction map

被引：15
作者：
Bekka, MB [1 ]
Kaniuth, E
Lau, AT
Schlichting, G
机构：
[1] Univ Metz, Dept Math, F-57045 Metz, France
[2] Univ Gesamthsch Paderborn, Fachbereich Math Informat, D-33095 Paderborn, Germany
[3] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
[4] Tech Univ Munchen, Inst Math, D-80290 Munchen, Germany
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 06期
关键词：
D O I：
10.1090/S0002-9947-98-01835-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a locally compact group and B(G) the Fourier-Stieltjes algebra of G. We study the problem of how weak*-closedness of some translation invariant subspaces of B(G) is related to the structure of G. Moreover, we prove that for a closed subgroup H of G, the restriction map from B(G) to B(H) is weak*-continuous only when H is open in G.
引用
收藏
页码：2277 / 2296
页数：20
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