Schur multipliers and operator-valued Foguel-Hankel operators

Catalin Badea (1) , Vern I. Paulsen

1 LPP - Laboratoire Paul Painlevé - UMR 8524

We show that some matrices are Schur multipliers and this is applied to obtain classes of operator-valued Foguel-Hankel operators similar to contractions. This provides partial answers to a problem of K. Davidson and the second author concerning CAR-valued Foguel-Hankel operators.

Domaines: Analyse fonctionnelle [math.FA]; Algèbres d'opérateurs [math.OA]

Catalin Badea, Vern I. Paulsen. Schur multipliers and operator-valued Foguel-Hankel operators. Indiana University Mathematics Journal, 2001, 50, pp.1509-1522. ⟨hal-00012445⟩