Asymptotically absorbing nets of positive operators. (English) Zbl 1282.47057

Emel’yanov, E. Yu.; Erkurşun, N.

Sib. Adv. Math. 22, No. 4, 243-260 (2012).

This informative and interesting paper is devoted to asymptotically absorbing nets, continuing and extending some of the earlier works of the first author. Special emphasis here is given to positive operators on \(L^1\) and \(C(X)\) spaces and pointwise convergence. Te paper also contains an extensive list of references on the subject.

Reviewer: Şafak Alpay (Ankara)

MSC:

47B65	Positive linear operators and order-bounded operators
47D07	Markov semigroups and applications to diffusion processes
47-00	General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to operator theory

Keywords:

continuous mapping; asymptotically absorbing net; operator net; martingale net; constrictor

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