On the generalized Cauchy dual of closed operators in Hilbert spaces

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dc.contributor.authorMajumdar, A.
dc.contributor.authorJohnson, P.S.
dc.contributor.authorN Mohapatra, R.
dc.date.accessioned2026-02-03T13:20:41Z
dc.date.issued2025
dc.description.abstractIn this paper, we introduce the generalized Cauchy dual w(T)=T(T?T)† of a closed operator T with a closed range between Hilbert spaces and present intriguing findings that characterize the Cauchy dual of T. Additionally, we establish the result w(Tn)=(w(T))n, for all n?N, where T is a quasinormal EP operator. © The Author(s), under exclusive licence to University of Szeged 2025.
dc.identifier.citationActa Scientiarum Mathematicarum, 2025, , , pp. -
dc.identifier.issn16969
dc.identifier.urihttps://doi.org/10.1007/s44146-025-00199-1
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20636
dc.publisherSpringer Nature
dc.subject47A05
dc.subject47B02
dc.subject47B20
dc.subjectClosed operator
dc.subjectEP operator
dc.subjectGeneralized Cauchy dual
dc.subjectMoore-Penrose inverse
dc.subjectQuasinormal operator
dc.titleOn the generalized Cauchy dual of closed operators in Hilbert spaces

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