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arXiv · 1609.03726

Transference and preservation of uniqueness

Ivan G. Todorov·Lyudmila 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.

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Ivan G. Todorov, Lyudmila Turowska. 2016-09-13. Transference and preservation of uniqueness. https://arxiv.org/abs/1609.03726

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