The Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces

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dc.contributor.authorMajumdar, A.
dc.contributor.authorJohnson, P.S.
dc.date.accessioned2026-02-03T13:20:27Z
dc.date.issued2025
dc.description.abstractIn this paper, we present some interesting results to characterize the Moore–Penrose inverses of unbounded closable operators and after investigating the Moore–Penrose inverses of the direct sum of closed operators with closed ranges in Hilbert spaces, we establish (Formula presented.), where (Formula presented.) is the reduced minimum modulus of T. © 2024 Informa UK Limited, trading as Taylor & Francis Group.
dc.identifier.citationLinear and Multilinear Algebra, 2025, 73, 8, pp. 1668-1684
dc.identifier.issn3081087
dc.identifier.urihttps://doi.org/10.1080/03081087.2024.2436091
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20515
dc.publisherTaylor and Francis Ltd.
dc.subjectclosable operator
dc.subjectclosed operator
dc.subjectMoore–Penrose inverse
dc.titleThe Moore–Penrose inverses of unbounded closable operators and the direct sum of closed operators in Hilbert spaces

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