Lotz-Rabiger's nets of Markov operators in L-1-spaces


Emel'yanov E. , Erkursun N.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.371, ss.777-783, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 371 Konu: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.jmaa.2010.05.060
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.777-783

Özet

The Lotz-Rabiger nets (LR-nets) introduced in Rabiger (1993) [18] under the name M-nets provide an appropriate setting for investigation various mean ergodic theorems in Banach spaces. In the present paper we prove several convergence theorems for LR-nets of Markov operators in L-1-spaces which extend Theorems 1 and 5 from Emel'yanov (2004) [8]. and Theorem 1.1 from Lasota (1983) [11]. (C) 2010 Elsevier Inc. All rights reserved.