Mathematics – Functional Analysis
Scientific paper
2008-05-02
J. Math. Anal. Appl. 353, no.2 (2009), pp. 660-665
Mathematics
Functional Analysis
Scientific paper
We construct examples of weighted algebras $L_p^w(G)$ with $1
uncountable free groups. For $p>2$ no weighted algebras exist on these groups.
From the other side, we prove that an amenable group on which exist weighted
algebras with $p>1$ must be sigma-compact.
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