Products of Idempotent Operators
Article
Date:
2017Publishing House and Editing Place:
Birkhauser Verlag AgMagazine:
INTEGRAL EQUATIONS AND OPERATOR THEORY, vol. 88 (pp. 269-286) Birkhauser Verlag AgSummary
The goal of this article is to study the set of all products EF with E, F idempotent operators defined on a Hilbert space. We present characterizations of this set in terms of operator ranges, Hilbert space decompositions and generalized inverses.Key Words
GENERALIZED INVERSESFACTORIZATIONSPROJECTIONSIDEMPOTENT OPERATORS