Manuscript En08-A@1 · En08-A.tex · section · c688d76d
The symmetric-cone representation theorem
Signature and Lorentz-cone selection › The symmetric-cone representation theorem · lines 1337–1343
In dimension at least three, strict convexity already excludes nontrivial products: one factor would have dimension at least two and would be a higher-dimensional proper face. Irreducibility is retained in to make its operational meaning explicit.
Nearby in this section
- definition: Definition: Faces and strict convexity of a cone
- section: The symmetric-cone representation theorem
- assumption: Assumption: Symmetric-cone selection axiom
- theorem: Theorem: Representation from cone order and
- corollary: Corollary: Application to records
- corollary: Corollary: Exclusion of the polyhedral realizations
- section: The symmetric-cone representation theorem
- figure: Figure