On stability of triangular factorization of positive operators

M. I. Belishev, A. F. Vakulenko

Let $\mathfrak{f}=\{{\mathcal{F}}_s{\}}_{s>0}$ be a nest and $C$ a bounded positive operator in a Hilbert space $\mathcal{F}$. The representation $C=V^{\ast }V$ provided $V\mathscr F_s\subset\m…