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].
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