Hypo-EP element in C algebra

• Published in: Rendiconti del Circolo matematico di Palermo Vol. 72; no. 2; pp. 1115 - 1123
• Main Author: Veeramani, S.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.03.2023; Springer Nature B.V
• Subjects: Algebra; Analysis; Applications of Mathematics; Geometry; Hilbert space; Mathematics; Mathematics and Statistics; Operators (mathematics); 46L05; algebra; Regular element; Hypo-EP element; Moore–Penrose inverse; 47A05

In this note we investigate the Hypo-EP element of a C ∗ algebra, which is an extended notion of Hypo-EP operator defined on a Hilbert space. We also notice some important characterization and properties of the same.