On positive semidefinite solutions of the operator Lyapunov equation

DOI10.1016/0022-247X(79)90185-9zbMath0413.47023MaRDI QIDQ1260587

Henrik Stetkaer

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov equationHilbert spacepositive semidefiniteoperator Lyapunov equation

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60)

Related Items

Inertia and controllability in infinite dimensions ⋮ Inertia theory

Cites Work

• Dissipative operators in a Banach space
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• Similarity and the numerical range
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• Zur Stabilitätstheorie linearer autonomer Differentialgleichungssysteme
• On the Ostrowski-Schneider inertia theorem
• An inertia theory for operators on a Hilbert space
• Solving Linear Operator Equations
• On Nonnegative Solutions of the Equation $AD + DA' = - C$
• The Inertial Aspects of Stein's Condition H - C ∗ HC ≫0
• On the Lyapunov matrix equation
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