Displaying similar documents to “Anti-isomorphisms of the ring and lattice of a normed linear space”

IC-lattices

Janowitz, M.F. (1965)

Portugaliae mathematica

Similarity:

Narrow operators on lattice-normed spaces

Marat Pliev (2011)

Open Mathematics

Similarity:

The aim of this article is to extend results of Maslyuchenko, Mykhaylyuk and Popov about narrow operators on vector lattices. We give a new definition of a narrow operator, where a vector lattice as the domain space of a narrow operator is replaced with a lattice-normed space. We prove that every GAM-compact (bo)-norm continuous linear operator from a Banach-Kantorovich space V to a Banach lattice Y is narrow. Then we show that, under some mild conditions, a continuous dominated operator...