Abstract
A linear operator is said to be stable (Hurwitzian) if its spectrum is located in the open left half-plane. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be stable. What are the conditions that provide the stability of \(A+B\)?
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I am very grateful to the referee of this paper for his (her) really helpful remarks.
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Gil’, M. Stability of sums of operators. Ann Univ Ferrara 62, 61–70 (2016). https://doi.org/10.1007/s11565-016-0243-1
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DOI: https://doi.org/10.1007/s11565-016-0243-1
Keywords
- Linear operators
- Stability
- Spectrum
- Operators with Hilbert–Schmidt Hermitian components
- Finite dimensional operators