This article is cited in 1 scientific paper (total in 2 paper)
Kantorovich's principle in action: $AW^*$-modules and injective Banach lattices
A. G. Kusraev
Southern Mathematical Institute, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia
Making use of Boolean valued representation it is proved that Kaplansky–Hilbert lattices and injective Banach lattices may be produced from each other by means of the convexification procedure. The relationship between the Kantorovich's heuristic principle and the Boolean value transfer principle is also discussed.
Kantorovich's principle, Kaplansly–Hilbert module, injective Banach lattice, Boolean valued analysis, Boolean valued representation, Maharam operator, square of a vector lattice, convexification.
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MSC: 06F25, 46A40
A. G. Kusraev, “Kantorovich's principle in action: $AW^*$-modules and injective Banach lattices”, Vladikavkaz. Mat. Zh., 14:1 (2012), 67–74
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\paper Kantorovich's principle in action: $AW^*$-modules and injective Banach lattices
\jour Vladikavkaz. Mat. Zh.
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A. G. Kusraev, “Operators on injective Banach lattices”, Vladikavk. matem. zhurn., 18:1 (2016), 42–50
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