Compactness of Schur-A Multipliers and Haagerup Tensorproduct

2020/01/21 by He, Weijiao
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2001.07425

Abstract

In this paper we study the connection between Haagerup tensor product and compactness of Schur A-multiplier. In particular, we give a new characterization of elementary C^∗-algebra in terms of completely compact Schur A-multiplier.

Related

• Haagerup tensor products and Schur multipliers
• Schur multipliers of Schatten--von Neumann classes \boldsymbolS_p
• Schur tensor product of operator spaces
• Algebraic K-theory and properly infinite C*-algebras
• Completely compact Herz-Schur multipliers of dynamical systems