Weighted weak group inverse for Hilbert space operators
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Publication:6314957
DOI10.1007/S11464-020-0847-8zbMath1520.47035arXiv1903.00915MaRDI QIDQ6314957
Publication date: 3 March 2019
Abstract: We present the weighted weak group inverse, which is a new generalized inverse of operators between two Hilbert spaces, introduced to extend weak group inverse for square matrices. Some characterizations and representations of the weighted weak group inverse are investigated. We also apply these results to define and study the weak group inverse for a Hilbert space operator. Using the weak group inverse, we define and characterize various binary relations.
Theory of matrix inversion and generalized inverses (15A09) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
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