Maps preserving the diamond partial order
Mar\'ia Burgos, Antonio Carlos M\'arquez-Garc\'ia, and Antonio, Morales-Campoy
TL;DR
This paper investigates the diamond partial order within general C*-algebras and characterizes linear maps that preserve this order, enhancing understanding of order-preserving transformations in operator algebras.
Contribution
It provides a comprehensive description of the diamond partial order in C*-algebras and characterizes the linear maps that preserve this order, extending previous results to a broader setting.
Findings
Characterization of the diamond partial order in C*-algebras
Description of linear order-preserving maps in this context
Extension of known order-preserving map results to general C*-algebras
Abstract
The present paper is devoted to the study of the diamond partial order in general C*-algebras and the description of linearmaps preserving this partial order
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Advanced Operator Algebra Research