The TAN $2Θ$ Theorem for Indefinite Quadratic Forms

Details The TAN $2Θ$ Theorem for Indefinite Quadratic Forms The TAN $2Θ$ Theorem for Indefinite Quadratic Forms

2010-06-16

arxiv.org/abs/1006.3190v1

Mathematics

Spectral Theory

Scientific paper

A version of the Davis-Kahan Tan $2\Theta$ 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].

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