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Título
Generalized Inverses of Bounded Finite Potent Operators on Hilbert Spaces
Autor(es)
Palabras clave
Bounded operator
Hilbert space
Drazin inverse
Moore-Penrose inverse
DMP inverse
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2022
Editor
Faculty of Sciences and Mathematics, University of Niˇs, Serbia
Resumen
[[EN]The aim of this work is to prove the existence and uniqueness of the Drazin inverse and the
DMP inverses of a bounded finite potent endomorphism. In particular, we give the main properties of
these generalized inverses, we offer their relationships with the adjoint operator, we study their spectrum,
we compute the respective traces and determinants and we relate the Drazin inverse of a bounded finite
potent operator with classical definitions of this generalized inverse. Moreover, different properties of the
Moore-Penrose inverse of a bounded operator are studied.
URI
ISSN
0354-5180
DOI
10.2298/FIL2218139P
Versión del editor
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