Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem

DOI10.1016/j.jmaa.2019.123599zbMath1440.47033OpenAlexW2979951043WikidataQ124813258 ScholiaQ124813258MaRDI QIDQ2009291

Qingxiang Xu, Qing-Wen Wang, Dragana S. Cvetković-Ilić

Publication date: 28 November 2019

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.2019.123599

zbMATH Keywords

positive solutionoperator equationDouglas' lemma

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Positive linear operators and order-bounded operators (47B65)

Related Items

On the solutions of the operator equation XAX  =  BX, Solvability of \(A_iXB_i=C_i\), \(i=\overline{1,2}\), with applications to inequality \(C{\mathop{\leq}\limits^\ast}AXB\), Pedersen-Takesaki operator equation and operator equation \(AX = B\) in Hilbert \(C^*\)-modules, Some relaxed iteration methods for solving matrix equation \(AXB=C\), The Douglas lemma for von Neumann algebras and some applications, Reducible solution to a quaternion tensor equation, Solvability and different solutions of the operator equation \(XAX=BX\)

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