Continuous invariant averagings


Khadjiev D., Cavus A.

TURKISH JOURNAL OF MATHEMATICS, cilt.37, sa.5, ss.770-780, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Konu: 5
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3906/mat-1112-6
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.770-780

Özet

Main results: For every equicontinuous almost periodic linear representation of a group in a complete locally convex space L with the countability property, there exists the unique invariant averaging; it is continuous and is expressed by using the L-valued invariant mean of Bochner and von-Neumann. An analog of Wiener's approximation theorem for an equicontinuous almost periodic linear representation in a locally convex space with the countability property is proved.