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   Articles with "generalized drazin" as a keyword



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Additive Results for the Generalized Drazin Inverse in a Banach Algebra

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recommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-015-0143-z

Abstract: Under new conditions on Banach algebra elements a and b, we derive explicit expressions for the generalized Drazin inverse of the sum $$a+b$$a+b. As an application of our results, we present new representations for the… read more here.

Keywords: drazin inverse; banach algebra; additive results; generalized drazin ... See more keywords
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Left and right generalized Drazin inverses for closed operators and application to singular linear equations

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recommendations! Published in 2021 at "Rocky Mountain Journal of Mathematics"

DOI: 10.1216/rmj.2021.51.225

Abstract: We define and study left and right generalized Drazin inverses for a closed densely defined linear operator in a Hilbert space. These operators are characterized by means of the generalized Kato decomposition and the single-valued… read more here.

Keywords: left right; right generalized; inverses closed; generalized drazin ... See more keywords
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Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra

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recommendations! Published in 2018 at "Filomat"

DOI: 10.2298/fil1817907z

Abstract: In this paper, we give expressions for the generalized Drazin inverse of a (2,2,0) block matrix over a Banach algebra under certain circumstances, utilizing which we derive the generalized Drazin inverse of a 2× 2… read more here.

Keywords: drazin inverse; inverse block; banach algebra; generalized drazin ... See more keywords
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Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators

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recommendations! Published in 2023 at "Filomat"

DOI: 10.2298/fil2301021o

Abstract: Left and right resolvents of left and right generalized Drazin invertible operators are introduced in this paper. The construction of left and right resolvents allows us to find, in terms of the coefficients of Laurent… read more here.

Keywords: drazin invertible; generalized drazin; right generalized; left right ... See more keywords

Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation

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recommendations! Published in 2023 at "Filomat"

DOI: 10.2298/fil2301193m

Abstract: In this paperwe investigate the spectrum and the Drazin spectrum and their pseudo spectral analogues, for linear relations between Banach spaces and corresponding spectra, the generalized Drazinmeromorphic pseudospectrum. More specifically, the generalized Drazin-meromorphic pseudospectrum for… read more here.

Keywords: generalized drazin; meromorphic pseudospectrum; drazin meromorphic; linear relations ... See more keywords