Continuous frames and the Kadison-Singer problem
Functional Analysis
2018-02-02 v1
Abstract
In this paper we survey a recent progress on continuous frames inspired by the solution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava. We present an extension of Lyapunov's theorem for discrete frames due to Akemann and Weaver and a similar extension for continuous frames by the author. We also outline a solution of the discretization problem, which was originally posed by Ali, Antoine, and Gazeau, and recently solved by Freeman and Speegle.
Cite
@article{arxiv.1802.00118,
title = {Continuous frames and the Kadison-Singer problem},
author = {Marcin Bownik},
journal= {arXiv preprint arXiv:1802.00118},
year = {2018}
}