Non-commutative $L_p$-spaces associated with a Maharam trace

TL;DR

This paper introduces non-commutative Lp-spaces linked to Maharam traces, providing their definitions and characterizing their dual spaces, advancing the understanding of operator algebra structures.

Contribution

It defines non-commutative Lp-spaces associated with Maharam traces and describes their dual spaces, offering new insights into their structure.

Findings

Defined non-commutative Lp-spaces with Maharam traces

Characterized the dual spaces of these Lp-spaces

Enhanced understanding of operator algebra structures

Abstract

Non-commutative $L_p$-spaces $L^p(M,\Phi)$ associated with the Maharam trace are defined and their dual spaces are described.