Vasyunin, V. I. The corona problem and the angle between invariant subspaces. (English. Russian original) Zbl 0833.47007 St. Petersbg. Math. J. 6, No. 1, 77-88 (1995); translation from Algebra Anal. 6, No. 1, 95-109 (1994). Summary: Necessary and sufficient conditions are found for two subspaces, invariant with respect to a given contraction, to be arranged under a nonzero angle. The mentioned conditions are imposed upon the factors in factorizations of the characteristic function of the original contraction, which respond to the given invariant subspaces, and also to some operator functions, which participate in the definition of regular factorizations. Cited in 2 Documents MSC: 47A45 Canonical models for contractions and nonselfadjoint linear operators 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators Keywords:corona problem; contraction; factorizations of the characteristic function; invariant subspaces PDFBibTeX XMLCite \textit{V. I. Vasyunin}, St. Petersbg. Math. J. 6, No. 1, 95--109 (1994; Zbl 0833.47007); translation from Algebra Anal. 6, No. 1, 95--109 (1994)