A. Valette

most citedLe problème de Kadison-Singer (The Kadison-Singer problem)

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.FA2014★ 1 cited

Le problème de Kadison-Singer (The Kadison-Singer problem)

Alain Valette

In 1959, R.V. Kadison and I.M. Singer asked whether each pure state of the algebra of bounded diagonal operators on $ℓ^{2}$ , admits a unique state extension to $B (ℓ^{2})$ . The po…

math.RT2013

On 1-cocycles induced by a positive definite function on a locally compact abelian group

Jordan Franks, Alain Valette

For $φ$ a normalized positive definite function on a locally compact abelian group $G$ , we consider on the one hand the unitary representation $π_{φ}$ associated to $φ$ by the GNS co…