Hypo-EP element in C algebra

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.

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Bibliographic Details
Published inRendiconti del Circolo matematico di Palermo Vol. 72; no. 2; pp. 1115 - 1123
Main Author Veeramani, S.
Format Journal Article
LanguageEnglish
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
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Summary: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.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-022-00723-0