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

• Autorzy: Julio Benítez , Vladimir Rakočević
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 200
• Numer: 2
• Strony: 163-174

Daty

wydano

2010

Twórcy

autor

Julio Benítez

• Departamento de Matemática Aplicada, Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain

autor

Vladimir Rakočević

• Department of Mathematics, Faculty of Science and Mathematics, University of Niš, Višegradska, 33, 18000 Niš, Serbia

Identyfikatory

DOI

10.4064/sm200-2-4