Ergodic theorems for certain power bounded operators

• Autores: Diego Gallardo
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 38, Fasc. 2, 1987, págs. 141-155
• Idioma: inglés
• Títulos paralelos:
  • Teoremas ergódicos para ciertas potencias de operadores acotados
• Enlaces
  • Texto completo
• Resumen

  • We consider invertible power bounded operators $T$ on an Orlicz space such that $T$ or $T^{-1}$ is positive or $T$ separates supports. For a wide class of Orlicz spaces we prove individual ergodic theorems and dominated ergodic theorems, and study the ergodic Hilbert transforms.