PROCEEDINGS IPMU '08

A measure extension theorem in *l*-groups

Alzbeta Michalíková.

In the paper [2] there was proved
that if H is a σ-continuous, orthomodular
lattice, A is its orthocomplemented
sublattice, µ : A → (0,1). is a probability measure that is subadditive
and S(A) is the σ-complete
orthocomplemented sublattice of H
generated by A, then there exist
exactly one subadditive probability
measure µ : S(A) → (0,1). that is
an extension of µ. In the paper we
prove the theorem for *l*-group valued
measures that are subadditive. Similar
problems were studied for example
in [1] and [4].

PDF full paper |