Geodesic
On isomorphisms between weighted $L^p$-algebras
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 853-866

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DOI

Let G be a locally compact group and let $\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, Parrott, and Strichartz 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 to classical function spaces.
DOI : 10.4153/S0008439520000880
Mots-clés : Locally compact groups, weighted Lp algebras, topological group isomorphisms, biseparating isomorphism, small bound isomorphism 
Kuznetsova, Yulia; Zadeh, Safoura. On isomorphisms between weighted $L^p$-algebras. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 853-866. doi: 10.4153/S0008439520000880
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     title = {On isomorphisms between weighted $L^p$-algebras},
     journal = {Canadian mathematical bulletin},
     pages = {853--866},
     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S0008439520000880},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000880/}
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