Completely bounded disjointness preserving operators between Fourier algebras (Q549779)
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scientific article; zbMATH DE number 5925569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completely bounded disjointness preserving operators between Fourier algebras |
scientific article; zbMATH DE number 5925569 |
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Completely bounded disjointness preserving operators between Fourier algebras (English)
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18 July 2011
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The author characterizes surjective completely bounded disjointness preserving linear operators on Fourier algebras of locally compact amenable groups. He shows that such operators are given by weighted homomorphisms induced by piecewise affine proper maps. Moreover, uniqueness conditions for the decomposition of such operators in some special cases are discussed. Finally, the canonical cb-extension of such operators is proved.
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completely bounded operator
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disjointness preserving operator
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Fourier algebra
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piecewise affine map
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