The Riccati algebraic equation in a locally \(C^*\)-algebra

DOI10.1007/BF01196602zbMath0805.47012MaRDI QIDQ1804042

Mirko Dobovišek

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

algebras of unbounded operatorslocally \(C^*\)-algebrascomplete stabilizabilitystructure of the set of selfadjoint solutions of the algebraic Riccati equation

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Algebraic methods (93B25) Equations involving linear operators, with operator unknowns (47A62) Inductive and projective limits in functional analysis (46M40)

Cites Work

• Comparison theorems for infinite-dimensional Riccati equations
• On the operator equation \(BX - XA = Q\)
• On locally m-convex x-algebras
• A generalization of normed rings
• Stabilizability of linear systems defined overC *-algebras
• On Hermitian Solutions of the Symmetric Algebraic Riccati Equation
• Linear state-space systems in infinite-dimensional space: the role and characterization of joint stabilizability/detectability
• Equivalence of input-output stability and exponential stability for infinite-dimensional systems
• Stability and Stabilizability of Infinite-Dimensional Systems
• Exponential stabilization of hyperbolic systems with nonlinear, unbounded perturbations—riccati operator approach
• Über LMC-Algebren
• B ^∗ -Algebras and their Representation
• LOCALLY C*-ALGEBRA
• Locally multiplicatively-convex topological algebras
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