Factorizations of EP Banach space operators and EP Banach algebra elements

Abstract

EP Banach space operators and EP Banach algebra elements are characterized using different kinds of factorizations. The results obtained generalize well-known characterizations of EP matrices, EP Hilbert space operators and EP $C^{\ast }$-algebra elements. Furthermore, new results that hold in these contexts are presented.

arXiv comment16 pages; original research article