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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-1-5, author = {M. Laura Arias and Mostafa Mbekhta}, title = {On partial isometries in C*-algebras}, journal = {Studia Mathematica}, volume = {204}, year = {2011}, pages = {71-82}, zbl = {1298.46045}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-1-5} }
M. Laura Arias; Mostafa Mbekhta. On partial isometries in C*-algebras. Studia Mathematica, Tome 204 (2011) pp. 71-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-1-5/