Abstract
It is well known that the Schatten p-norm defined on the space of matrices is useful and possesses nice properties. In this paper, we explore the concept of Schatten p-norm on Rn via the structure of Euclidean Jordan algebra. Two types of Schatten p-norm on Rn are defined and the relationship between these two norms is also investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 21-29 |
| Number of pages | 9 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 21 |
| Issue number | 1 |
| Publication status | Published - 2019 |
Keywords
- Euclidean Jordan algebra
- Schatten p-norm
- Second-order cone
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics