arXiv Analytics

Sign in

arXiv:1711.07225 [math.FA]AbstractReferencesReviewsResources

Domination of quadratic forms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

Published 2017-11-20Version 1

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.

Comments: The article arXiv:1608.06798v1 has been split, the present article contains the first part. The material presented here is partly based on the third named author's master's thesis (arXiv:1604.05114)
Categories: math.FA
Subjects: 47A63, 47B65
Related articles: Most relevant | Search more
arXiv:2010.08192 [math.FA] (Published 2020-10-16)
On a question of Pietch
arXiv:1903.10785 [math.FA] (Published 2019-03-26)
Geometric convexity of an operator mean
arXiv:1703.08128 [math.FA] (Published 2017-03-23)
Schur multipliers on $\mathcal{B}(L^p,L^q)$