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Domination of quadratic forms

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Abstract

We study domination of quadratic forms in the abstract setting of ordered Hilbert spaces. Our main result gives a characterization in terms of the associated forms. This generalizes and unifies various earlier works. Along the way we present several examples.

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Acknowledgements

M. S. and M. W. gratefully acknowledge financial support of the DFG via Graduiertenkolleg: Quanten- und Gravitationsfelder. M. W. gratefully acknowledges financial support of the Studienstiftung des deutschen Volkes. D. L. gratefully acknowledges partial support by DFG as well as enlightening discussions with Peter Stollmann on Dirichlet forms and domination of semigroups. M. W. would like to thank Ognjen Milatovic for several helpful remarks on a preliminary version of this article.

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  1. Mathematisches Institut, Friedrich-Schiller-Universitä Jena, 07737, Jena, Germany

    Daniel Lenz, Marcel Schmidt & Melchior Wirth

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  1. Daniel Lenz
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  2. Marcel Schmidt
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Correspondence to Daniel Lenz.

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Lenz, D., Schmidt, M. & Wirth, M. Domination of quadratic forms. Math. Z. 296, 761–786 (2020). https://doi.org/10.1007/s00209-019-02440-4

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