The TAN $2\Theta$ Theorem for Indefinite Quadratic Forms
Spectral Theory
2013-01-30 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
A version of the Davis-Kahan Tan theorem [SIAM J. Numer. Anal. \textbf{7} (1970), 1 -- 46] for not necessarily semibounded linear operators defined by quadratic forms is proven. This theorem generalizes a recent result by Motovilov and Selin [Integr. Equat. Oper. Theory \textbf{56} (2006), 511 -- 542].
Cite
@article{arxiv.1006.3190,
title = {The TAN $2\Theta$ Theorem for Indefinite Quadratic Forms},
author = {Luka Grubišić and Vadim Kostrykin and Konstantin A. Makarov and Krešimir Veselić},
journal= {arXiv preprint arXiv:1006.3190},
year = {2013}
}