Abstract
The paper deals with bounded non-selfadjoint operators having Hilbert–Schmidt imaginary Hermitian components. A perturbation bound for invariant subspaces is established. Our results can be considered as a particular generalization of the well-known Davis–Kahan sin θ-theorem for selfadjoint operators.
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Gil’, M. Perturbations of invariant subspaces of operators with Hilbert–Schmidt Hermitian components. Arch. Math. 105, 447–452 (2015). https://doi.org/10.1007/s00013-015-0816-8
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DOI: https://doi.org/10.1007/s00013-015-0816-8