Boolean-valued analysis of order-bounded operators. (English. Russian original) Zbl 1440.47035

Kusraev, A. G.; Kutateladze, S. S.

J. Math. Sci., New York 218, No. 5, 609-635 (2016); translation from Fundam. Prikl. Mat. 19, No. 5, 89-126 (2014).

Summary: This is a survey of some recent applications of Boolean-valued models of set theory to the study of order-bounded operators in vector lattices.

MSC:

47B65	Positive linear operators and order-bounded operators
03E75	Applications of set theory
46A40	Ordered topological linear spaces, vector lattices
47-02	Research exposition (monographs, survey articles) pertaining to operator theory

Keywords:

order-bounded operator; vector lattice; Boolean-valued analysis

References:

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