Completely bounded disjointness preserving operators between Fourier algebras |
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| Authors: | Ying-Fen Lin |
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| Institution: | Department of Applied Mathematics, National Dong Hwa University, Hua-Lien 970, Taiwan, ROC |
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| Abstract: | In this paper, we characterize surjective completely bounded disjointness preserving linear operators on Fourier algebras of locally compact amenable groups. We show that such operators are given by weighted homomorphisms induced by piecewise affine proper maps. |
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| Keywords: | Completely bounded operator Disjointness preserving operator Fourier algebra Piecewise affine map |
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