Domination of quadratic forms
Daniel Lenz, Marcel Schmidt, Melchior Wirth
TL;DR
This paper investigates the domination of quadratic forms within ordered Hilbert spaces, providing a unifying characterization that extends previous research and includes various illustrative examples.
Contribution
It offers a new, generalized characterization of quadratic form domination in ordered Hilbert spaces, unifying and extending prior results.
Findings
Provides a comprehensive characterization of quadratic form domination.
Unifies various earlier results in the literature.
Includes multiple examples illustrating the theory.
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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