Transference and Preservation of Uniqueness

I. G. Todorov; L. Turowska

doi:10.1007/s11856-018-1817-7

Transference and Preservation of Uniqueness

I. G. Todorov, L. Turowska

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Abstract

Motivated by the notion of a set of uniqueness in a locally compact group G, we introduce and study ideals of uniqueness in the Fourier algebra A(G) of G, and their accompanying operator version, masa-bimodules of uniqueness. We establish a transference between the two notions, and use this result to show that the property of being an ideal of uniqueness is preserved under natural operations.

Original language	English
Pages (from-to)	1-21
Journal	Israel Journal of Mathematics
Volume	230
Issue number	1
Early online date	17 Apr 2019
DOIs	https://doi.org/10.1007/s11856-018-1817-7
Publication status	Early online date - 17 Apr 2019

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Transference and Preservation of Uniqueness
© 2017 Springer International Publishing This work is made available online in accordance with the publisher’s policies.
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AB - Motivated by the notion of a set of uniqueness in a locally compact group G, we introduce and study ideals of uniqueness in the Fourier algebra A(G) of G, and their accompanying operator version, masa-bimodules of uniqueness. We establish a transference between the two notions, and use this result to show that the property of being an ideal of uniqueness is preserved under natural operations.

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Transference and Preservation of Uniqueness

Abstract

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