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Schur multipliers and operator-valued Foguel-Hankel operators

2005/01/11 by Catalin Badea, Vern I. Paulsen
Mathematics · #math.FA #math.OA #msc:47A20

paper · pdf

published as Indiana Univ. Math. J. 50(2001), 1509-1522 · Preprint version

arxiv created 2005/01/11 · arxiv updated 2009/12/01

Abstract

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.

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