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math.FA2018
Measurable selector in Kadison's carpenter's theorem
Marcin Bownik, Marcin Szyszkowski
We show the existence of a measurable selector in Carpenter's Theorem due to Kadison. This solves a problem posed by Jasper and the first author. As an application we obtain a char…
math.FA2018
Continuous frames and the Kadison-Singer problem
Marcin Bownik
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 o…