Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse
Julio Benítez, Vladimir Rakočević (2010)
Studia Mathematica
Similarity:
We study the subset in a unital C*-algebra composed of elements a such that is invertible, where denotes the Moore-Penrose inverse of a. A distinguished subset of this set is also investigated. Furthermore we study sequences of elements belonging to the aforementioned subsets.