Polar decomposition of the Aluthge transformation in Hilbert C*-modules
Polar decomposition of the Aluthge transformation in Hilbert C*-modules
Let T = U|T| and S = V |S| be the polar decompositions of adjointable operators T and S, respectively on a Hilbert C*-module. We determine these pairs of operators for which their products TS accepts the polar decomposition as TS = UV |TS|. Specially, we provide sufficient conditions for …