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Product and factorization of hypo-EP operators
(De Gruyter peter.golla@degruyter.com, 2018) Johnson, P.S.; Vinoth, A.
In this article, we derive some necessary and sufficient conditions for the product of hypo-EP operators to be hypo-EP and we characterize hypo-EP operators through factorizations. © by P. Sam Johnson and A. Vinoth, published by De Gruyter 2018.
Closed EP and hypo-EP operators on Hilbert spaces
(Springer Science and Business Media B.V., 2022) Johnson, P.S.
A bounded linear operator A on a Hilbert space H is said to be an EP (hypo-EP) operator if ranges of A and A∗ are equal (range of A is contained in range of A∗) and A has a closed range. In this paper, we define EP and hypo-EP operators for densely defined closed linear operators on Hilbert spaces and extend results from bounded linear operator settings to (possibly unbounded) closed linear operator settings. © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.
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.