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arXiv · 1803.06083

On isomorphisms between weighted $L^p$-algebras

Yulia Kuznetsova·Safoura Zadeh
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Abstract

Let $G$ be a locally compact group and $\omega$ be a continuous weight on $G$. In this paper, we first characterize bicontinuous biseparating algebra isomorphisms between weighted $L^p$-algebras. As a result we extend previous results of Edwards, Strichartz and Parrot on algebra isomorphisms between $L^p$-algebras to the setting of weighted $L^p$-algebras. We then study the automorphisms of certain weighted $L^p$-algebras on integers, applying known results on composition operators on classical function spaces.

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BibTeXRIS

Yulia Kuznetsova, Safoura Zadeh. 2018-03-16. On isomorphisms between weighted $L^p$-algebras. https://doi.org/10.4153/s0008439520000880

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