- journal article metadata
European Mathematical Society Publishing House
2017-07-06 23:45:01
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
53
2017
3
Paradoxical Partition of Unity for Hypergroups
Akram
Yousofzadeh
Islamic Azad University, Isfahan, Iran
Hypergroup, paradoxical partition of unity, amenability
The paradoxical partition of unity of a discrete hypergroup is de ned. It is shown that a discrete hypergroup is amenable if and only if it admits no paradoxical partition of unity. We introduce the Tarski number for discrete hypergroups and present a constructive way to compute an upper bound for this number.
Abstract harmonic analysis
419
429
10.4171/PRIMS/53-3-4
http://www.ems-ph.org/doi/10.4171/PRIMS/53-3-4