Schur and operator multipliers

Details Schur and operator multipliers Schur and operator multipliers

2009-11-03

arxiv.org/abs/0911.0606v1

Mathematics

Functional Analysis

Scientific paper

Schur multipliers were introduced by Schur in the early 20th century and have since then found a considerable number of applications in Analysis and enjoyed an intensive development. Apart from the beauty of the subject in itself, sources of interest in them were connections with Perturbation Theory, Harmonic Analysis, the Theory of Operator Integrals and others. Advances in the quantisation of Schur multipliers were recently made by Kissin and Shulman. The aim of the present article is to summarise a part of the ideas and results in the theory of Schur and operator multipliers. We start with the classical Schur multipliers defined by Schur and their characterisation by Grothendieck, and make our way through measurable multipliers studied by Peller and Spronk, operator multipliers defined by Kissin and Shulman and, finally, multidimensional Schur and operator multipliers developed by Juschenko and the authors. We point out connections of the area with Harmonic Analysis and the Theory of Operator Integrals.

Affiliated with

Also associated with

No associations

Rating

Schur and operator multipliers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Schur and operator multipliers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schur and operator multipliers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256753