Singular Lyapunov operator equations: applications to $$C^*-$$algebras, Fréchet derivatives and abstract Cauchy problems
Author:
Funder
Bilateral project between Serbia and Slovenia
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Algebra and Number Theory,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s13324-021-00596-z.pdf
Reference34 articles.
1. Banach, S.:Théorie des opérations linéaires, Warsaw, (1932)
2. Bhatia, R., Rosenthal, P.: How and why to solve the operator equation $$AX-XB=Y$$. Bull. London Math. Soc. 29, 1–21 (1997)
3. Davis, C., Rosenthal, P.: Solving linear operator equations. Canad. J. Math. 26, 1384–1389 (1974)
4. Dinčić, N.Č: Solving the Sylvester equation $$AX-XB=C$$ when $$ (A)\cap (B)\ne \emptyset $$. Electron. J. Linear Algebra 35, 1–23 (2019)
5. Djordjević, B.D.: On a singular Sylvester equation with unbounded self-adjoint $$A$$ and $$B$$. Complex Anal. Oper. Theory 14, 43 (2020). https://doi.org/10.1007/s11785-020-01000-7
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