Abstract
Let P and Q be orthoprojectors in C n. The canonical form for P and Q is constructed as their common block diagonal form with diagonal blocks of order one or two. The entries in the 2 × 2 blocks of the canonical form are then interpreted in terms of the canonical angles between the subspaces \(\mathcal{L}\) = im P and \(\mathcal{M}\) = im Q. Bibliography: 5 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
D. B. Wales, “Connections between finite linear groups and linear algebra,” Linear Multilinear Algebra, 7, 267–279 (1979).
H. F. Blichfeldt, Finite Collineation Groups, University of Chicago Press (1917).
D. Z. Djokovic, “Unitary similarity of projectors,” Aeq. Math., 42, 220–224 (1991).
G. W. Stewart and J. Sun, Matrix Perturbation Theory, Academic Press (1990).
H. K. Wimmer, “Canonical angles of unitary spaces and perturbations of direct complements,” Linear Algebra Appl., 287, 373–379 (1999).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 309, 2004, pp. 17–22.
Rights and permissions
About this article
Cite this article
George, A., Ikramov, K.D. A Note on the Canonical Form for a Pair of Orthoprojectors. J Math Sci 132, 153–155 (2006). https://doi.org/10.1007/s10958-005-0484-5
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10958-005-0484-5