On algebraic properties of sets of Banach ideal function spaces
Abstract
Description
It is shown that every set I(m) of Banach lattices of measurable functions defined on a measure space (Q,S,m), equipped with a some natural ordering became a modular lattice, which is Dedekind complete provided m is a probability measure. Moreover, some natural operations on considered spaces are in Galois connexion.
Latex2e, corrected version
Latex2e, corrected version