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Published in 2019 at "Aequationes mathematicae"
DOI: 10.1007/s00010-019-00656-7
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…
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Keywords:
weighted extended;
inverse weighted;
extended drazin;
drazin inverse ... See more keywords
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Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00722-y
Abstract: We introduce and investigate a new generalized inverse as an extension of the g-Drazin inverse in a Banach algebra. This new inverse will be called an extended g-Drazin inverse. Using idempotents, we characterize this inverse…
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Keywords:
banach algebra;
inverse banach;
extended drazin;
drazin inverse ... See more keywords