The Tan 2$\Theta$ Theorem for indefinite quadratic forms

Luka Grubišić; Vadim Kostrykin; Konstantin A. Makarov; Krešimir Veselić

doi:10.4171/jst/38

JournalsjstVol. 3, No. 1pp. 83–100

The Tan 2 $Θ$ Theorem for indefinite quadratic forms

Luka Grubišić
University of Zagreb, Croatia
Vadim Kostrykin
Johannes Gutenberg-Universität Mainz, Germany
Konstantin A. Makarov
University of Missouri, Columbia, USA
Krešimir Veselić
FernUniversität Hagen, Germany

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Abstract

A version of the Davis–Kahan Tan 2 $Θ$ theorem [3] for not necessarily semibounded linear operators defined by quadratic forms is proven. This theorem generalizes a result by Motovilov and Selin [13].

Cite this article

Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov, Krešimir Veselić, The Tan 2 $Θ$ Theorem for indefinite quadratic forms. J. Spectr. Theory 3 (2013), no. 1, pp. 83–100

DOI 10.4171/JST/38