Deformation estimates for the Berezin-Toeplitz quantization
Deformation estimates for the Berezin-Toeplitz quantization
复制标题
Berezin-Toeplitz 量化的变形估计
DOI：
10.1007/bf02097632
复制
发表时间：
1992
影响因子：
2.4
通讯作者：
L. Coburn
中科院分区：
文献类型：
--
作者：
L. Coburn
得到Cn的Berezin-Toeplitz量子化的形变估计。这些估计证明了CCR+ K 0是AP+ C 0的一阶量子变形的描述，其中CCR是（玻色子）正则对易关系的C *-代数，K 0是紧致算子的全代数，AP是概周期函数的代数，C 0是无穷远为零的连续函数的代数.
Deformation estimates for the Berezin-Toeplitz quantization ofCnare obtained. These estimates justify the description of CCR+Kas a first-order quantum deformation of AP+C0, where CCR is the usualC*-algebra of (boson) canonical commutation relations,Kis the full algebra of compact operators, AP is the algebra of almost-periodic functions andC0is the algebra of continuous functions which vanish at infinity.