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Transference and preservation of uniqueness

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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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Authors and Affiliations

  1. Pure Mathematics Research Centre, Queen’s University Belfast, Belfast, BT7 1NN, UK

    Ivan G. Todorov

  2. Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Gothenburg, SE-412 96, Sweden

    Lyudmila Turowska

Authors
  1. Ivan G. Todorov
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  2. Lyudmila Turowska
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Correspondence to Ivan G. Todorov.

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Todorov, I.G., Turowska, L. Transference and preservation of uniqueness. Isr. J. Math. 230, 1–21 (2019). https://doi.org/10.1007/s11856-018-1817-7

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  • DOI: https://doi.org/10.1007/s11856-018-1817-7

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