Factorization of EP elements in C*-algebras

Abstract

We offer some extensions to C*-algebra elements of factorization properties of EP operators on a Hilbert space.

Keywords:

• C*-algebra
• regular element
• Moore–Penrose inverse
• EP element
• factorization

AMS subject classifications: :

• 46L05
• 47A05

Acknowledgements

The authors wish to express their thanks to the referee whose suggestions led to a better presentation of the article and prevented an error getting in print. Partially supported by the Institutional Research Plan AV OZ 10190503 of the Czech Academy of Sciences and by the grant of the Czech Grant Agency no. 201/108/0012.