Kadison–Singer problem

Known as: Kadison-Singer problem

In mathematics, the Kadison–Singer problem, posed in 1959, was a problem in functional analysis about whether certain extensions of certain linear…

Papers overview

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2018

Recently Marcus, Spielman and Srivastava gave a spectacular proof of a theorem which implies a positive solution to the Kadison…

2017

We give self-contained presentation of results related to the Kadison-Singer problem, which was recently solved by Marcus…

2014

In 1959, R.V. Kadison and I.M. Singer asked whether each pure state of the algebra of bounded diagonal operators on $\ell^2…

2014

Before the invention of quantum mechanics by Erwin Schrödinger (1887 – 1961) and Werner Heisenberg (1901 – 1976), physicists were…

2009

The Kadison-Singer problem asks: does every pure state on the diagonal sublgebra of the C*-algebra of bounded operators on a…

2008

This is a primer on frame theory geared towards the parts of the theory needed for people who want to understand the relationship…

2007

These notes outline some ideas for approaching the KadisonSinger problem.

2006

A fundamental characteristic of a text is that its sentences are not unrelated but cohere. To understand a text, a reader must…

2002

Since an H-separable extension A|B is of depth two, we associate to it dual bialgebroids S:= End B A B and T:= (A ⊗B A) B over…

1999

We show that the Singer invariant of a four-dimensional homogeneous space is at most 1.