Extensions of Schur multipliers

Ying-Fen Lin (Queen’s University Belfast)

Thursday 28th February 16:00-17:00 Maths 311B

Abstract

I will first introduce operator-valued Schur multipliers and provide a Grothendieck-type characterisation of such multipliers. Then I will give an affirmative solution to the positive extension problem for a partially defined operator-valued multiplier φ in terms of a relation between the canonical and maximal dual operator system structures associated with the domain of φ.

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