Representations for the Generalized Inverses of a Modified Operator

Representations for the Generalized Inverses of a Modified Operator

Some explicit representations for the generalized inverses of a modified operator A + Y GZ , where A, Y, Z, and G are operators between Banach spaces, are obtained under certain conditions. The obtained results generalize the recent works on the Drazin inverse and the Moore–Penrose inverse of comple...

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Veröffentlicht in:Ukrainian mathematical journal 2016-11, Vol.68 (6), p.981-986
1. Verfasser: Mosic, D
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Operators
Representations
Statistics
Online-Zugang:Volltext
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Zusammenfassung:Some explicit representations for the generalized inverses of a modified operator A + Y GZ , where A, Y, Z, and G are operators between Banach spaces, are obtained under certain conditions. The obtained results generalize the recent works on the Drazin inverse and the Moore–Penrose inverse of complex matrices and Hilbert-space operators.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1271-9