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Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups equipped with Haar measure
Mathematische Nachrichten ( IF 0.8 ) Pub Date : 2021-08-21 , DOI: 10.1002/mana.201900181
Maria Rosaria Formica 1 , Eugeny Ostrovsky 2 , Leonid Sirota 2
Affiliation  

We prove that the Grand Lebesgue Space built on a unimodular locally compact topological group, equipped with bi-invariant Haar measure, forms a Banach algebra relative to the convolution.

中文翻译:

大勒贝格空间实际上是相对于配备 Haar 测度的单模局部紧群上的卷积的巴拿赫代数

我们证明了建立在单模局部紧拓扑群上的 Grand Lebesgue 空间,配备了双不变的 Haar 测度,形成了相对于卷积的 Banach 代数。
更新日期:2021-08-21
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