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

Emel'yanov, NAZİFE; Erkursun, Nazife

doi:10.1016/j.jmaa.2010.05.060

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

Atıf İçin Kopyala

Emel'yanov E., Erkursun N.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.371, sa.2, ss.777-783, 2010 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 371 Sayı: 2
Basım Tarihi: 2010
Doi Numarası: 10.1016/j.jmaa.2010.05.060
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.777-783
Hacettepe Üniversitesi Adresli: Hayır

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.