Haagerup tensor products and Schur multipliers
Abstract
In this paper we compare various classes of Schur multipliers: classical matrix Schur multipliers, discrete Schur multipliers, Schur multipliers with respect to measures and Schur multipliers with respect to spectral measures. The main result says that in the case of Schur multipliers with respect to measures and spectral measures such Schur multipliers coincide isometrically with the Haagerup tensor products of the corresponding L ∞ L^\infty spaces. We deduce this result from a well-known analogue of it for discrete Schur multipliers.
Fields of Study & Subjects
Advanced Topics in Algebra
Advanced Operator Algebra Research
Finite Group Theory Research
Publication details
- Journal / source
- St Petersburg Mathematical Journal
- Volume
- 36
- Issue
- 5
- Pages
- 689–699
- Publication date
- 22 April 2026
- Language
- EN