An example of a weighted algebra $L_p^w(G)$ on uncountable group

Yulia Kuznetsova

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arXiv · 0805.0283

An example of a weighted algebra $L_p^w(G)$ on uncountable group

Yulia Kuznetsova

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Abstract

We construct examples of weighted algebras $L_p^w(G)$ with $1 2$ 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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BibTeX RIS

Yulia Kuznetsova. 2008-05-02. An example of a weighted algebra $L_p^w(G)$ on uncountable group. https://arxiv.org/abs/0805.0283

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