We study similarity to partial isometries in C*-algebras as well as their relationship with generalized inverses. Most of the results extend some recent results regarding partial isometries on Hilbert spaces. Moreover, we ...

We study global dynamical properties of the isometry group of the Borel randomization of a separable complete structure. In particular, we show that if properties such as the Rohklin property, topometric generics, extreme ...

In this work, the concepts of isometry, unitary and partial isometry on a Hilbert space are generalized when an additional semi-inner product is considered. These new concepts are described by means of oblique projections.

A partial isometry V is said to be a split partial isometry if H = R(V) + N(V), with R(V)∩ N(V ) = {0} (R(V) = range of V, N(V ) = null-space of V).We study the topological properties of the set I0 of such partial isometries. ...

In this work we study the relationship between A-partial isometries and generalized inverses.