The Kadison-Singer problem in mathematics and engineering

Proc Natl Acad Sci U S A. 2006 Feb 14;103(7):2032-9. doi: 10.1073/pnas.0507888103. Epub 2006 Feb 3.


We will see that the famous intractible 1959 Kadison-Singer Problem in C*-algebras is equivalent to fundamental open problems in a dozen different areas of research in mathematics and engineering. This work gives all these areas common ground on which to interact as well as explaining why each area has volumes of literature on their respective problems without a satisfactory resolution.