Abstract:
Using Theorem 1 (of convergence) in [1], we prove several results on LR- and M-nets by a unified approach to these nets that appear as the two extreme types of asymptotically abelian nets.
This publication is cited in the following 7 articles:
Niyazi An{\i}l Gezer, “Unbounded growth of sequences in vector lattices”, Positivity, 27:2 (2023)
Erkursun-Ozcan N., Gezer N.A., “Unbounded Asymptotic Equivalences of Operator Nets With Applications”, Positivity, 23:4 (2019), 829–851
Ozcan N.E., “On Ergodic Properties of Operator Nets on the Predual of Von Neumann Algebras”, Stud. Sci. Math. Hung., 55:4 (2018), 479–486
Erkursun-Ozcan N., “Asymptotic Behavior of Operator Sequences on Kb-Spaces”, Positivity, 22:3 (2018), 803–814
Ozcan N.E., Mukhamedov F., “Uniform Ergodicity of Lotz-Rabiger Nets of Markov Operators on Abstract State Spaces”, Results Math., 73:1 (2018), UNSP 35
Ozcan N.E., “Quasi-Compactness and Uniform Convergence of Markov Operator Nets on Kb-Spaces”, Ordered Structures and Applications, Trends in Mathematics, eds. DeJeu M., DePagter B., VanGaans O., Veraar M., Birkhauser Verlag Ag, 2016, 171–178
Emel'yanov E.Yu., “On quasi-compactness of operator nets on Banach spaces”, Studia Math, 203:2 (2011), 163–170
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