Abstract
AbstractIt is proved that a kernel, doubly Markovian operator T is asymptotically periodic if and only if its deterministic $$\sigma $$
σ
-field $$\varSigma _d(T)$$
Σ
d
(
T
)
(equivalently $$\varSigma _d(T^*)$$
Σ
d
(
T
∗
)
) is finite. It follows that kernel doubly Markovian operator T is asymptotically periodic if and only if $$T^*$$
T
∗
is asymptotically periodic.
Funder
Gdansk University of Technology
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Theoretical Computer Science,Analysis
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