Singular Lyapunov operator equations: applications to $$C^*-$$algebras, Fréchet derivatives and abstract Cauchy problems
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DOI: 10.1007/s13324-021-00596-z
Abstract: Let A be a closed operator on a separable Hilbert space $$\mathcal {H}$$ . In this paper we obtain sufficient conditions for the existence of a solution to the Lyapunov operator equation $$ A^*X+X^*A=I$$ ,… read more here.
Keywords: singular lyapunov; operator equations; lyapunov operator; operator ... See more keywords