Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse
Julio Benítez ; Vladimir Rakočević
Studia Mathematica, Tome 196 (2010), p. 163-174 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285791 
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Julio Benítez; Vladimir Rakočević. Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse. Studia Mathematica, Tome 196 (2010) pp. 163-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm200-2-4/