Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras

Ghahramani F.; Zadeh S.

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Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras

机译：伯林代数和它们的第二个对偶代数之间的双正同构

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摘要

Let G be a locally compact group and let omega be a continuous weight on G. We show that for each of the Banach algebras L-1 (G, omega), M(G, omega), LUC(G, omega(-1))(star), and L-1(G, omega)(star star), the order structure combined with the algebra structure determines the weighted group.

机译：设 G 为局部紧基团，设 omega 为G上的连续权重。结果表明，对于巴拿赫代数L-1（G，omega），M（G，omega），LUC（G，omega（-1））（星形）和L-1（G，omega）（星形），阶数结构与代数结构相结合决定了加权群。

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来源
《Canadian Journal of Mathematics》 |2017年第1期|3-20|共18页
作者
Ghahramani F.; Zadeh S.;
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作者单位

Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada;

Univ Franche Comte, Math Lab, 16 Route Gray, F-25030 Besancon, France;

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正文语种英语
中图分类数学;
关键词
locally compact group; Beurling algebra; Arens product; topological group isomorphism; bipositive algebra isomorphism;

机译：本地紧凑组;伯林代数;阿伦斯产品;拓扑群同构;双正代数同构;

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Bipositive Isomorphisms Between Beurling Algebras and Between their Second Dual Algebras

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