Abstract
New characterizations of partial isometries and EP elements in Banach algebra are presented.
Highlights
Generalized inverses of matrices have important roles in theoretical and numerical methods of linear algebra
In the following result we present equivalent conditions for an bounded linear operator T on Banach space X to be a partial isometry and EP
Compare with 21, Theorem 2.3 where we studied necessary and sufficient conditions for an element a of a ring with involution to be a partial isometry and EP
Summary
Generalized inverses of matrices have important roles in theoretical and numerical methods of linear algebra. In this paper we characterize elements in Banach algebras which are EP and partial isometries. We give some characterizations of partial isometries in Banach algebras in the following theorem.
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