Abstract
We show that some local properties (such as nuclearity, exactness, and local reflexivity) of ternary rings of operators (TROs) are closely related to the local properties of their linking C*-algebras. We also show some equivalent conditions for nuclear TROs, and show that Haagerup's decomposition property for completely bounded maps and Pisier's δ-norm can be naturally generalized to TROs.
Original language | English (US) |
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Pages (from-to) | 262-305 |
Number of pages | 44 |
Journal | Journal of Functional Analysis |
Volume | 195 |
Issue number | 2 |
DOIs | |
State | Published - Nov 10 2002 |
Keywords
- -algetras
- C
- Local theory
- Operator spaces
- TROs
ASJC Scopus subject areas
- Analysis