Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems
From MaRDI portal
Publication:2240806
DOI10.1007/s13324-021-00596-zOpenAlexW3196762297MaRDI QIDQ2240806
Publication date: 4 November 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-021-00596-z
Abstract operator algebras on Hilbert spaces (47L30) Equations involving linear operators, with operator unknowns (47A62) Derivatives of functions in infinite-dimensional spaces (46G05)
Cites Work
- On the operator equation \(BX - XA = Q\)
- The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems
- Explicit solution of the operator equation \(A^{*}X+X^{*}A=B\)
- On the operator equation \(AX-XB=C\) with unbounded operators \(A\), \(B\), and \(C\)
- A Taylor expansion of the square root matrix function
- Direct methods for matrix Sylvester and Lyapunov equations
- Lyapunov functions for infinite-dimensional systems
- Solving the operator equation \(AX-XB = C\) with closed \(A\) and \(B\)
- Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach
- On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\)
- Fréchet derivative and analytic functional calculus
- Operator algebra generated by an element from the module \(\mathcal {B}(V_1,V_2)\)
- A short course on operator semigroups
- On a new type of stability
- Similarity and the numerical range
- Solving Linear Operator Equations
- How and Why to Solve the Operator Equation AX −XB = Y
- The solutions to some operator equations with corresponding operators not necessarily having closed ranges
- CHERNOFF-LIKE COUNTEREXAMPLES RELATED TO UNBOUNDED OPERATORS
- Functional Analysis, Spectral Theory, and Applications
- Solving the Sylvester Equation AX-XB=C when $\sigma(A)\cap\sigma(B)\neq\emptyset$
- The Operator Equation BX - XA = Q with Selfadjoint A and B
- Probleme General de la Stabilite du Mouvement. (AM-17)
- Differentiability of semigroups of stochastic differential equations with H\"older-continuous diffusion coefficients
- Classification and approximation of solutions to Sylvester matrix equation
- Spectral theory of linear operators and spectral systems in Banach algebras
- Theory of operator algebras I.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems