Multipliers on noncommutative Orlicz spaces

Abstract

We establish very general criteria for the existence of multiplication operators between noncommutative Orlicz spaces L ^ψ0 and L^ψ1 . We then show that these criteria contain existing results, before going on to briefly look at the extent to which the theory of multipliers on Orlicz spaces differs from that of L^p-spaces. In closing we describe the compactness properties of such operators.

Keywords:

• Orlicz spaces
• noncommutative
• multipliers
• composition operators

Mathematics Subject Classification (2010):

• Primary: 47B38, 47B47
• Secondary: 46B50, 46L52