Lyapunov's Theorem for continuous frames
Functional Analysis
2018-02-02 v2
Abstract
Akemann and Weaver (2014) have shown a remarkable extension of Weaver's Conjecture (2004) in the form of approximate Lyapunov's theorem. This was made possible thanks to the breakthrough solution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava (2015). In this paper we show a similar type of Lyapunov theorem for continuous frames on non-atomic measure spaces. In contrast with discrete frames, the proof of this result does not rely on the recent solution of the Kadison-Singer problem.
Cite
@article{arxiv.1703.04750,
title = {Lyapunov's Theorem for continuous frames},
author = {Marcin Bownik},
journal= {arXiv preprint arXiv:1703.04750},
year = {2018}
}