Abstract
The objective of this paper is to study the nonnegativity of the Moore-Penrose inverse of an operator between real Hilbert spaces. A sufficient condition ensuring this is given in terms of certain spectral property of all positive splittings of the given operator. A partial converse is proved.
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Kurmayya, T., Sivakumar, K.C. Nonnegative Moore-Penrose inverses of operators over Hilbert spaces. Positivity 12, 475–481 (2008). https://doi.org/10.1007/s11117-007-2173-8
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DOI: https://doi.org/10.1007/s11117-007-2173-8