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General explicit expressions for intertwining operators and direct rotations of two orthogonal projections. (arXiv:1705.05870v1 [math.SP])
来源于:arXiv
In this paper, based on the block operator technique and operator spectral
theory, the general explicit expressions for intertwining operators and direct
rotations of two orthogonal projections have been established. As a
consequence, it is an improvement of Kato's result (Perturbation Theory of
Linear operators, Springer-Verlag, Berlin/Heidelberg, 1996); J. Avron, R.
Seiler and B. Simon's Theorem 2.3 (The index of a pair of projections, J.
Funct. Anal. 120(1994) 220-237) and C. Davis, W.M. Kahan, (The rotation of
eigenvectors by a perturbation, III. SIAM J. Numer. Anal. 7(1970) 1-46). 查看全文>>