TY - JOUR
T1 - On uniform zero-two law for positive contractions of abstract state spaces
AU - Erkurşun-Özcan, Nazife
AU - Mukhamedov, Farrukh
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.
PY - 2025/2
Y1 - 2025/2
N2 - In recent years, great attention has been given to abstract state spaces. Also, there are many papers dedicated to zero-two law. In the present paper, we will investigate generalizations of the dominated and uniform zero-two law results for Markov operators defined on abstract state spaces. As a consequence of the obtained results, we can produce several applications of the main theorems.
AB - In recent years, great attention has been given to abstract state spaces. Also, there are many papers dedicated to zero-two law. In the present paper, we will investigate generalizations of the dominated and uniform zero-two law results for Markov operators defined on abstract state spaces. As a consequence of the obtained results, we can produce several applications of the main theorems.
KW - Abstract state space
KW - Domination operator
KW - Positive contraction
KW - Zero-two law
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U2 - 10.1007/s11117-024-01104-w
DO - 10.1007/s11117-024-01104-w
M3 - Article
AN - SCOPUS:85218206928
SN - 1385-1292
VL - 29
JO - Positivity
JF - Positivity
IS - 1
M1 - 18
ER -