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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.
M. Laura Arias, and Mostafa Mbekhta. "On partial isometries in C*-algebras." Studia Mathematica 205.1 (2011): 71-82. <http://eudml.org/doc/285509>.
@article{M2011, 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.}, author = {M. Laura Arias, Mostafa Mbekhta}, journal = {Studia Mathematica}, keywords = {partial isometries; generalized inverses; similarity; interpolation polynomials}, language = {eng}, number = {1}, pages = {71-82}, title = {On partial isometries in C*-algebras}, url = {http://eudml.org/doc/285509}, volume = {205}, year = {2011}, }
TY - JOUR AU - M. Laura Arias AU - Mostafa Mbekhta TI - On partial isometries in C*-algebras JO - Studia Mathematica PY - 2011 VL - 205 IS - 1 SP - 71 EP - 82 AB - 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. LA - eng KW - partial isometries; generalized inverses; similarity; interpolation polynomials UR - http://eudml.org/doc/285509 ER -