Automatic continuity over Moore groups

被引：0
作者：
Volker Runde
机构：
[1] Universität des Saarlandes,Fachbereich 9 Mathematik
来源：
Monatshefte für Mathematik | 1997年 / 123卷
关键词：
46H40 (primary); 22D15; 43A20; Automatic continuity; Moore groups;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
LetG be a Moore group, letB be a Banach algebra, and let θ:L1(G)→B be a homomorphism. We show that θ is continuous if and only if its restriction to the center ofL1(G) is continuous. As a consequence, we obtain that (i) every homomorphism fromL1(G) orC*(G) onto a dense subalgebra of a semisimple Banach algebra, and (ii) every epimorphism fromC*(G) onto a Banach algebra is automatically continuous.
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页码：245 / 252
页数：7
相关论文
共 27 条
  • [21] Runde V.(undefined)∈[FIA] undefined undefined undefined-undefined
  • [22] Runde V.(undefined)∪[Moore] undefined undefined undefined-undefined
  • [23] Runde V.(undefined)When is there a discontinuous homomorphism from undefined undefined undefined-undefined
  • [24] Runde V.(undefined)( undefined undefined undefined-undefined
  • [25] Sinclair A. M.(undefined))? undefined undefined undefined-undefined
  • [26] Thoma E.(undefined)When does continuity on the center imply continuity? undefined undefined undefined-undefined
  • [27] Willis G. A.(undefined)Local spectral properties of convolution operators on non-abelian groups undefined undefined undefined-undefined
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