On isomorphisms between weighted
-algebras
Keyword(s):
Abstract 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.
2016 ◽
Vol 369
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pp. 575-603
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1995 ◽
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pp. 390-405
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1982 ◽
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pp. 67-85
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2017 ◽
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pp. 3-20
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1966 ◽
Vol 6
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pp. 289-327
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2021 ◽
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2003 ◽
Vol 10
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pp. 503-508
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