2-local derivations on AW*-algebras of type I

Аннотация

It is proved that every 2-local derivation on an AW*-algebra of type I is a derivation. Also an analog of Gleason theorem for signed measures on projections of homogenous AW*-algebras except the cases of an AW*-algebra of type I₂ and a factor of type Im, 2 < m < ∞is proved.