2-Local derivations on AW${}^{\ast }$-algebras of type I

Shavkat Ayupov, Farkhad Arzikulov

It is proved that every 2-local derivation on an AW${}^{\ast }$-algebra of type I is a derivation. Also an analog of Gleason theorem for signed measures on projections of homogenous AW${}^{\ast }$…