可分解和原子投影映射
Decomposable and atomic projection maps
摘要:
证明了有限维C* 代数到自身的迹不变投影映射,即正酉幂等映射是不可分解的当且仅当它是原子映射,或者等价地不是2-正映射与2-余正映射之和.特别地,在维度大于6的自旋因子上的投影是原子的。
英文摘要:
It is shown that a trace invariant projection map, i.e. a positive unital idempotent map, of a finite dimensional C*-algebra into itself is non-decomposable if and only if it is atomic, or equivalently not the sum of a 2-positive and a 2-copositive map. In particular projections onto spin factors of dimension greater than 6 are atomic.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。