Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem
From MaRDI portal
Publication:2009291
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
Equations involving linear operators, with operator unknowns (47A62) Positive linear operators and order-bounded operators (47B65)
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Cites Work
- Unnamed Item
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- Solutions to operator equations on Hilbert \(C^*\)-modules. II
- The solutions to some operator equations
- Positive solutions to operator equations \(AXB=C\)
- Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
- Majorization, range inclusion, and factorization for unbounded operators on Banach spaces
- On operator ranges
- Nonnegative definite and positive definite solutions to the matrix equationAXA*=B
- Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
- Inner, outer, and generalized inverses in banach and hilbert spaces
- Shorted Operators. II
- Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
- On majorization and range inclusion of operators on Hilbert C*-modules
- Quotients of Bounded Operators
- Majorization, range inclusion, and factorization for bounded linear operators
- Positive and real-positive solutions to the equationaxa*=cinC*-algebras
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
