The TAN $2\Theta$ Theorem for Indefinite Quadratic Forms

Konstantin A. Makarov; Kre\v{s}imir Veseli\'c; Luka Grubi\v{s}i\'c; Vadim Kostrykin

arxiv: 1006.3190 · v1 · pith:336NHVU4new · submitted 2010-06-16 · 🧮 math.SP · math-ph· math.FA· math.MP

The TAN 2Theta Theorem for Indefinite Quadratic Forms

Luka Grubi\v{s}i\'c , Vadim Kostrykin , Konstantin A. Makarov , Kre\v{s}imir Veseli\'c This is my paper

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keywords theoremformsquadratictextbfthetaanaldavis-kahandefined

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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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The TAN 2Theta Theorem for Indefinite Quadratic Forms

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