Majumdar, A.Johnson, P.S.N Mohapatra, R.2026-02-032025Acta Scientiarum Mathematicarum, 2025, , , pp. -16969https://doi.org/10.1007/s44146-025-00199-1https://idr.nitk.ac.in/handle/123456789/20636In 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 2025.47A0547B0247B20Closed operatorEP operatorGeneralized Cauchy dualMoore-Penrose inverseQuasinormal operator