On the existence of solutions to the operator Riccati equation and the tanΘtheorem

Details On the existence of solutions to the operator Riccati equation and the tanΘtheorem On the existence of solutions to the operator Riccati equation and the tanΘtheorem

2002-10-02

arxiv.org/abs/math/0210032v2

Integral Equations and Operator Theory 51 (2005), 121--140

Mathematics

Spectral Theory

Extended version of the paper

Scientific paper

10.1007/s00020-003-1248-6

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 these assumptions the sharp value of the constant c in the condition ||B||

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