Solvability and different solutions of the operator equation \(XAX=BX\)

DOI10.1007/s43034-022-00229-xOpenAlexW4308627403MaRDI QIDQ2105338

Dragana S. Cvetković-Ilić

Publication date: 8 December 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-022-00229-x

zbMATH Keywords

idempotentpositive operatoroperator equationnonsymmetric algebraic Riccati equation

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02) Operator matrices (47A08)

Related Items

On the solution of nonlinear operator equations and the invariant subspace

Cites Work

• An analogue to a result of Takahashi
• Some invariant subspaces for subnormal operators
• Positive solutions to operator equations \(AXB=C\)
• Hyponormal operators with thick spectra have invariant subspaces
• On the operator equation \(AX=XAX\)
• Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
• A note on the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation
• Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem
• An analogue to a result of Takahashi. II
• Some results on Fredholmness and boundedness below of an upper triangular operator matrix
• Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos
• Invariant subspaces of completely continuous operators
• Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices
• Completions of upper-triangular matrices to left-Fredholm operators with non-positive index
• Invertible and regular completions of operator matrices
• ALGORITHMS FOR RETURN PROBABILITIES FOR STOCHASTIC FLUID FLOWS
• Unnamed Item
• Unnamed Item
• Unnamed Item