Page 1

Displaying 1 – 3 of 3

Showing per page

Dividing measures and narrow operators

Volodymyr Mykhaylyuk, Marat Pliev, Mikhail Popov, Oleksandr Sobchuk (2015)

Studia Mathematica

We use a new technique of measures on Boolean algebras to investigate narrow operators on vector lattices. First we prove that, under mild assumptions, every finite rank operator is strictly narrow (before it was known that such operators are narrow). Then we show that every order continuous operator from an atomless vector lattice to a purely atomic one is order narrow. This explains in what sense the vector lattice structure of an atomless vector lattice given by an unconditional basis is far...

Currently displaying 1 – 3 of 3

Page 1