Central Interpolation Sets for Compact Groups and Hypergroups

Author

David E. Grow, Missouri University of Science and TechnologyFollow
Kathryn E. Hare

Editor(s)

Strachen, I. A. B.

Abstract

We prove that every infinite subset of the dual of a compact, connected group contains an infinite, central, weighted I0 set. This yields a new proof of the fact that the duals of such groups admit infinite central p-Sidon sets for each p > 1. We also establish the existence of infinite, weighted I0 sets in the duals of many compact, abelian hypergroups.

Recommended Citation

D. E. Grow and K. E. Hare, "Central Interpolation Sets for Compact Groups and Hypergroups," Glasgow Mathematical Journal, Cambridge University Press, Jan 2009.

The definitive version is available at https://doi.org/10.1017/S0017089509990024

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0017-0895

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2009 Cambridge University Press, All rights reserved.

Publication Date

01 Jan 2009