A Mean Ergodic Theorem in Bicomplex Lebesgue Spaces

ERYILMAZ İ.

WSEAS Transactions on Mathematics, cilt.23, ss.51-59, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37394/23206.2024.23.6
  • Dergi Adı: WSEAS Transactions on Mathematics
  • Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.51-59
  • Anahtar Kelimeler: bicomplex functional analysis, bicomplex Lebesgue space, bicomplex measure, bicomplex modules, hyperbolic norm, iterates of an operator, Mean ergodic theorem
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The main result of this paper is a mean ergodic theorem, in the Von Neumann sense, for some operator acting on the bicomplex Lebesgue space.