Invariant subspaces of some function spaces on a locally compact group (Q1070157)
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scientific article; zbMATH DE number 3933726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant subspaces of some function spaces on a locally compact group |
scientific article; zbMATH DE number 3933726 |
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Invariant subspaces of some function spaces on a locally compact group (English)
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1985
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Let G be a \(\sigma\)-compact and locally compact group. If \(f\in L^{\infty}(G)\), let \(U_ f\) be the closed subspace of \(L^{\infty}(G)\) generated by the left translations of f. Conditions are given which ensure that (i) each function in \(U_ f\) may be expanded in an essentially unique way as an absolutely convergent series of translations of f, and (ii) \(U_ f\) is not convolution invariant.
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translation invariant subspaces
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convolution invariant subspaces
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locally compact group
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translations
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0.8198388814926147
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0.8166833519935608
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0.803464949131012
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