On the solution of nonlinear operator equations and the invariant subspace

DOI10.1007/s43036-023-00291-9OpenAlexW4386587151MaRDI QIDQ6086413

Jun-Jie Huang, Hua Wang, Jingsong Wu

Publication date: 12 December 2023

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-023-00291-9

zbMATH Keywords

solutioninvariant subspaceoperator equation

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

• The supremum of linear operators for the *-order
• On the Riccati equations
• The operator equation \(T(H^{1/n}T)^ n=K\)
• On the operator equation \(AX=XAX\)
• Counterexample to a question on the operator equation \(T(H^{1/n}T)^ n=K\)
• Solvability and different solutions of the operator equation \(XAX=BX\)
• On a generalization of the matrix and scalar Riccati equation
• The operator equation \(K^p = H^{\frac \delta 2}T^{\frac 1 2}(T^{\frac 1 2}H^{\delta +r}T^{\frac 1 2})^{\frac {p-\delta}{\delta +r}}T^{\frac 1 2}H^{\frac \delta 2}\) and its applications
• Pedersen-Takesaki operator equation and operator equation \(AX = B\) in Hilbert \(C^*\)-modules
• Solutions of higher-order Riccati-type matrix equations
• Shorter Notes: The Operator Equation THT = K
• Existence and uniqueness of contractive solutions of some Riccati equations
• On the solutions of the operator equation XAX  =  BX

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