Autor: |
Arunkumar, C. S., Vijayarajan, A. K. |
Zdroj: |
The Journal of Analysis; September 2022, Vol. 30 Issue: 3 p1219-1227, 9p |
Abstrakt: |
Let Abe a unital C∗-algebra and Sbe an operator system in A. It is shown that, an irreducible representation πof Ais a weak boundary representation for Sif and only if its n-amplification π(n)is a weak boundary representation for the operator system Mn(S)for any n≥2. Also, we deduce that the operator system Sis quasi hyperrigid in Aif and only if the operator system Mn(S)is quasi hyperrigid in Mn(A)for any n≥2. |
Databáze: |
Supplemental Index |
Externí odkaz: |
|