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math.SP2003
A generalization of the Theorem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Let be a bounded self-adjoint operator on a separable Hilbert space and a closed invariant subspace of .…
math.SP2002★ 30 cited
On the existence of solutions to the operator Riccati equation and the tanΘtheorem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Let A and C be self-adjoint operators such that the spectrum of A lies in a gap of the spectrum of C and let d>0 be the distance between the spectra of A and C. We prove that under…