On the equations \(Ax=q\) and \(SX-XT=Q\)

DOI10.1016/0022-1236(88)90092-4zbMath0647.47028OpenAlexW1998212391MaRDI QIDQ1104528

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90092-4

zbMATH Keywords

existence theorems

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (7)

Mean ergodic theorems and linear functional equations ⋮ Existence of solution of the operator equation \(AX-XB=Q\) with possibly unbounded A,B,Q ⋮ Uniform Convergence of Ergodic Limits and Approximate Solutions ⋮ Analytic functional calculus for two operators ⋮ The operator equation \(AX-XB=C\), admissibility, and asymptotic behavior of differential equations ⋮ Non-optimal rates of ergodic limits and approximate solutions ⋮ Convergence rates of regularized approximation processes.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the range of the generator of a Markovian semigroup
• On the operator equation \(BX - XA = Q\)
• Semigroups of linear operators and applications to partial differential equations
• Ergodic limits of tensor product semigroups
• Ergodic properties of operator semigroups in general weak topologies
• Semigroups of transformations in general weak topologies
• On the Operator Equation AX + XB = Q
• The Operator Equation BX - XA = Q with Selfadjoint A and B

This page was built for publication: On the equations \(Ax=q\) and \(SX-XT=Q\)