Additive Properties of the generalized and pseudo n-strong Drazin Inverse in Banach Algebras

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dc.contributor.authorBiswas, R.
dc.contributor.authorRoy, F.
dc.date.accessioned2026-02-03T13:19:32Z
dc.date.issued2025
dc.description.abstractIn this paper, we establish some necessary and sufficient conditions for generalized n-strong Drazin invertibility (gns-invertibility) and pseudo n-strong Drazin invertibility (pns-invertibility) of an element in a Banach algebra for n?N. Subsequently, these results are utilized to prove some additive properties of gns (pns)-Drazin inverse. This process produces a generalization of some recent results of H Chen, M Sheibani (Linear and Multilinear Algebra 70.1 (2022): 53-65) for gns and pns-Drazin inverse. © The Indian National Science Academy 2025.
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2025, 56, 3, pp. 917-929
dc.identifier.issn195588
dc.identifier.urihttps://doi.org/10.1007/s13226-025-00811-8
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20108
dc.publisherIndian National Science Academy
dc.subjectAdditive property
dc.subjectgns-Drazin inverse
dc.subjectJacobson radical
dc.subjectpns-Drazin inverse
dc.titleAdditive Properties of the generalized and pseudo n-strong Drazin Inverse in Banach Algebras

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