Kantorovich's principle in action: AW*-modules and injective Banach lattices

Kantorovich's principle in action: AW*-modules and injective Banach lattices

Автор: Kusraev Anatoly G.

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 1 т.14, 2012 года.

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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.

Короткий адрес: https://sciup.org/14318373

IDR: 14318373

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