4.4 Article

Arens regularity of ideals of the group algebra of a compact Abelian group

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Orthogonal L1-sets and extreme non-Arens regularity of preduals of von Neumann algebras

M. Filali et al.

Summary: This paper studies the properties of Arens-regular and non-Arens-regular Banach algebras, and introduces the concept of r-enAr. The paper provides sufficient conditions for r-enAr and presents specific examples.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2022)

Article Mathematics

On the extreme non-Arens regularity of Banach algebras

Mahmoud Filali et al.

Summary: The paper demonstrates that l1-bases approximating upper and lower triangles of products of elements in the algebra produce functionals that are not weakly almost periodic, leading to criteria for determining extreme non-Arens regularity of Banach algebras. It is found that bounded approximate identities and bounded nets converging to invariance are main tools behind known constructions of non-Arens regular algebras. These criteria can be applied to major algebras in harmonic analysis.

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2021)

Article Mathematics, Applied

Extreme non-Arens regularity of the group algebra

Mahmoud Filali et al.

FORUM MATHEMATICUM (2018)

Article Mathematics

Characterizations of Riesz sets

A. Ülger

MATHEMATICA SCANDINAVICA (2016)

Article Mathematics

On the size of quotients of function spaces on a topological group

Ahmed Bouziad et al.

STUDIA MATHEMATICA (2011)

Article Mathematics

The union of a Riesz set and a Lust-Piquard set is a Riesz set

P Lefèvre et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2006)

Article Mathematics

Approximate identities for ideals of Segal algebras on a compact group

Y Zhang

JOURNAL OF FUNCTIONAL ANALYSIS (2002)