Abstract
We show that any TRO (ternary ring of operators) with predual can be decomposed into the direct sum of a two-sided ideal, a left ideal, and a right ideal in some von Neumann algebra using an extreme point of the unit ball of the TRO.
| Original language | English |
|---|---|
| Pages (from-to) | 297-303 |
| Number of pages | 7 |
| Journal | Pacific Journal of Mathematics |
| Volume | 266 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
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Keywords
- Dual operator spaces
- Extreme points
- Ideals
- Ternary rings of operators
- Von Neumann algebras
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Kaneda, M. (2013). Ideal decompositions of a ternary ring of operators with predual. Pacific Journal of Mathematics, 266(2), 297-303. https://doi.org/10.2140/pjm.2013.266.297