On weakly formulated Sylvester equations and applications

Luka Grubisic, Kresimir Veselic

We use a ``weakly formulated'' Sylvester equation $$A^{1/2}T{M}^{-1/2}-A^{-1/2}T{M}^{1/2}=F$$ to obtain new bounds for the rotation of spectral subspaces of a nonnegative selfadjoint o…