Invariant averagings of locally compact groups

Khadjiev D., Cavus A.

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, cilt.46, sa.4, ss.701-711, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 4
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1215/kjm/1250281600
  • Dergi Adı: JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.701-711
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

A definition of an invariant averaging for a linear representation of a group in a locally convex space is given. Main results: A group H is finite if and only if every linear representation of H in a locally convex space has an invariant averaging. A group H is amenable if and only if every almost periodic representation of H in a quasi-complete locally convex space has an invariant averaging. A locally compact group H is compact if and only if every strongly continuous linear representation of H in a quasi-complete locally convex space has an invariant averaging.