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Bulletin of the Iranian Mathematical Society

, Volume 44, Issue 2, pp 417–435 | Cite as

Kazhdan’s Property and Weak Containment for Hypergroups

  • Alireza Bagheri Salec
  • Seyyed Mohammad Tabatabaie
  • Benyamin Karami
Original Paper
  • 20 Downloads

Abstract

We introduce the notion of strong and weak containment for representations of hypergroups, and investigate their relationships to functions of positive type. We also define and study the notion of Kazhdan’s property for hypergroups.

Keywords

Locally compact hypergroup Kazhdan’s property Weak containment Strong containment 

Mathematics Subject Classification

Primary 43A62 

Notes

Acknowledgements

We would like to thank the referee for careful reading and very useful comments and suggestions.

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Copyright information

© Iranian Mathematical Society 2018

Authors and Affiliations

  • Alireza Bagheri Salec
    • 1
  • Seyyed Mohammad Tabatabaie
    • 1
  • Benyamin Karami
    • 1
  1. 1.Department of MathematicsUniversity of QomQomIran

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