算子cones -完全有界乘子Banach代数的适应性

IF 0.5 Q3 MATHEMATICS Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/AM2019-1-31

B. Hayati, A. Bodaghi, M. Amini

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引用次数: 0

摘要

对于完全压缩的Banach代数B，我们得到了完全有界乘子代数Mcb(B)是对偶Banach代数，且B的算子适性等价于Mcb(B)的算子cones适性的条件。我们也证明了，在这种情况下，这些等价于常规虚算子对角的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Operator Connes-amenability of completely bounded multiplier Banach algebras

For a completely contractive Banach algebra B, we find conditions under which the completely bounded multiplier algebra Mcb(B) is a dual Banach algebra and the operator amenability of B is equivalent to the operator Connes-amenability of Mcb(B). We also show that, in this case, these are equivalent to the existence of a normal virtual operator diagonal.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.