A Mean Ergodic Theorem in Bicomplex Lebesgue Spaces

ERYILMAZ İ.

WSEAS Transactions on Mathematics, vol.23, pp.51-59, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 23
  • Publication Date: 2024
  • Doi Number: 10.37394/23206.2024.23.6
  • Journal Name: WSEAS Transactions on Mathematics
  • Journal Indexes: Scopus, INSPEC, zbMATH
  • Page Numbers: pp.51-59
  • Keywords: bicomplex functional analysis, bicomplex Lebesgue space, bicomplex measure, bicomplex modules, hyperbolic norm, iterates of an operator, Mean ergodic theorem
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.