AbstractWe define a weighted extended g-Drazin inverse for Banach algebra elements, generalizing the concepts of extended g-Drazin inverse and weighted g-Drazin inverse. We characterize weighted extended g-Drazin invertible elements and… Click to show full abstract
AbstractWe define a weighted extended g-Drazin inverse for Banach algebra elements, generalizing the concepts of extended g-Drazin inverse and weighted g-Drazin inverse. We characterize weighted extended g-Drazin invertible elements and present some representations of a weighted extended g-Drazin inverse. Applying these results, we introduce and investigate a weighted extended Drazin inverse.
Keywords:
weighted extended;
inverse weighted;
extended drazin;
drazin inverse
Journal Title: Aequationes mathematicae
Year Published: 2019
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Journal Title: Aequationes mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!