On the solutions of operator equation \(CAX=C=XAC\)
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Publication:695120
DOI10.1016/j.jmaa.2012.09.033zbMath1303.47002OpenAlexW2327368185MaRDI QIDQ695120
Publication date: 20 December 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.033
Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
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Note on the assumptions in working with generalized inverses ⋮ On the solutions of the operator equation XAX = BX ⋮ Solvability of \(A_iXB_i=C_i\), \(i=\overline{1,2}\), with applications to inequality \(C{\mathop{\leq}\limits^\ast}AXB\) ⋮ The solutions to some operator equations with corresponding operators not necessarily having closed ranges ⋮ On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\) ⋮ Solutions to the system of operator equations \(A X B = C = B X A\) ⋮ The commuting inverse along an element in semigroups
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