On algebraic properties of sets of Banach ideal function spaces

Details On algebraic properties of sets of Banach ideal function spaces On algebraic properties of sets of Banach ideal function spaces

2002-09-24

arxiv.org/abs/math/0209322v2

Mathematics

Functional Analysis

Latex2e, corrected version

Scientific paper

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.

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