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February 2016 Realization of compact spaces as cb-Helson sets
Yemon Choi
Ann. Funct. Anal. 7(1): 158-169 (February 2016). DOI: 10.1215/20088752-3429526

Abstract

We show that, given a compact Hausdorff space Ω, there is a compact group G and a homeomorphic embedding of Ω into G, such that the restriction map A(G)C(Ω) is a complete quotient map of operator spaces. In particular, this shows that there exist compact groups which contain infinite cb-Helson subsets, answering a question raised by Choi and Samei. A negative result from that paper is also improved.

Citation

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Yemon Choi. "Realization of compact spaces as cb-Helson sets." Ann. Funct. Anal. 7 (1) 158 - 169, February 2016. https://doi.org/10.1215/20088752-3429526

Information

Received: 9 April 2015; Accepted: 30 July 2015; Published: February 2016
First available in Project Euclid: 22 December 2015

zbMATH: 1332.43004
MathSciNet: MR3449348
Digital Object Identifier: 10.1215/20088752-3429526

Subjects:
Primary: 43A30
Secondary: 46L07

Rights: Copyright © 2016 Tusi Mathematical Research Group

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Vol.7 • No. 1 • February 2016
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