On partial isometries in $C^*$-algebras
Volume 205 / 2011
Studia Mathematica 205 (2011), 71-82
MSC: Primary 47B48; Secondary 46L05, 47A10.
DOI: 10.4064/sm205-1-5
Abstract
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 describe partial isometries by means of interpolation polynomials.