activity
19922023
most citedThe Kadison-Singer Problem in Mathematics and Engineering

126 citations · 348 across the 94 of their papers we have counts for

collaborators
Showing 2014 · math.FAShow all

5 papers · 2 filters

math.FA2014

Riesz Outer Product Hilbert Space Frames: Quantitative Bounds, Topological Properties, and Full Geometric Characterization

Peter G. Casazza, Eric Pinkham, Brian Tuomanen

Outer product frames are important objects in Hilbert space frame theory. But very little is known about them. In this paper, we make the first detailed study of the family of oute…

math.FA2014

Phase retrieval and norm retrieval

Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza +2

Phase retrieval has become a very active area of research. We will classify when phase retrieval by Parseval frames passes to the Naimark complement and when phase retrieval by pro…

math.FA2014

Consequences of the Marcus/Spielman/Stivastava solution to the Kadison-Singer Problem

Peter G. Casazza

It is known that the famous, intractible 1959 Kadison-Singer problem in -algebras is equivalent to fundamental unsolved problems in a dozen areas of research in pure mathema…

math.FA2014

The Unconditional Constants for Hilbert Space Frame Expansions

Travis Bemrose, Peter G. Casazza, Victor Kaftal +1

The most fundamental notion in frame theory is the frame expansion of a vector. Although it is well known that these expansions are unconditionally convergent series, no characteri…

math.FA2014

The fundamentals of Spectral Tetris frame constructions

Peter G. Casazza, Lindsey M. Woodland

The landmark paper "Constructing tight fusion frames" by Casazza, Fickus, Mixon, Wang and Zhou introduced a fundamental method for constructing unit norm tight frames, which they c…