General explicit expressions for intertwining operators and direct rotations of two orthogonal projections
Spectral Theory
2017-05-18 v1 Functional Analysis
Abstract
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).
Keywords
Cite
@article{arxiv.1705.05870,
title = {General explicit expressions for intertwining operators and direct rotations of two orthogonal projections},
author = {Yan-Ni Dou and Wei-Juan Shi and Miao-Miao Cui and Hong-Ke Du},
journal= {arXiv preprint arXiv:1705.05870},
year = {2017}
}