Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse

Julio Benítez, and Vladimir Rakočević. "Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse." Studia Mathematica 200.2 (2010): 163-174. <http://eudml.org/doc/285791>.

@article{JulioBenítez2010,
abstract = {We study the subset in a unital C*-algebra composed of elements a such that $aa^\{†\} - aa^\{†\}$ is invertible, where $a^\{†\}$ 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.},
author = {Julio Benítez, Vladimir Rakočević},
journal = {Studia Mathematica},
keywords = {Moore-Penrose inverse},
language = {eng},
number = {2},
pages = {163-174},
title = {Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse},
url = {http://eudml.org/doc/285791},
volume = {200},
year = {2010},
}

TY - JOUR
AU - Julio Benítez
AU - Vladimir Rakočević
TI - Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse
JO - Studia Mathematica
PY - 2010
VL - 200
IS - 2
SP - 163
EP - 174
AB - We study the subset in a unital C*-algebra composed of elements a such that $aa^{†} - aa^{†}$ is invertible, where $a^{†}$ 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.
LA - eng
KW - Moore-Penrose inverse
UR - http://eudml.org/doc/285791
ER -