Mosić, Dijana; Cvetković, Miloš D. Polynomially EP operators. (English) Zbl 07587348 Aequationes Math. 96, No. 5, 1075-1087 (2022). Recall that a complex square matrix \(A\) is called an \(EP\)-matrix if \(AA^{†}=A^{†}A\). Many characterizations have been obtained in the literature. For instance, \(A\) is \(EP\) iff \(R(A)=R(A^*),\) where \(R(.)\) stands for the range space. The authors introduce the notion of polynomially \(EP\)-operators, prove several characterizations and derive some properties. The results obtained here extend many known results in the matrix case as well as the case of bounded linear operators with closed range. Reviewer: K. C. Sivakumar (Chennai) MSC: 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 15A09 Theory of matrix inversion and generalized inverses 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) Keywords:EP operator; Moore-Penrose inverse; Hilbert space PDFBibTeX XMLCite \textit{D. 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