Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups

2019/04/19 by Maria Rosaria Formica, Formica, Maria Rosaria, Eugeny Ostrovsky +3
Mathematics · #Advanced Banach Space Theory #Mathematical Analysis and Transform Methods #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1904.09226

Abstract

We prove that the Grand Lebesgue Space, builded on a unimodular locally compact topological group, forms a Banach algebra relative to the convolution.

Related

• Restricted version of Grand Lebesgue Spaces
• Convolution and involution on function spaces of homogeneous spaces
• K-theory of group Banach algebras and Banach property RD
• Group Algebras for Groups which are not Locally Compact
• Measure Algebras on Homogeneous Spaces