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    On the generalized Cauchy dual of closed operators in Hilbert spaces
    (Springer Nature, 2025) Majumdar, A.; Johnson, P.S.; N Mohapatra, R.
    In 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.