Quantum Differentiability on Noncommutative Euclidean Spaces

被引：17
作者：
McDonald, Edward [1 ]
Sukochev, Fedor [1 ]
Xiong, Xiao [1 ,2 ]
机构：
[1] UNSW, Sch Math & Stat, Kensington, NSW 2052, Australia
[2] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 379卷 / 02期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
UNBOUNDED FREDHOLM MODULES; L-P; OPERATOR; ALGEBRAS; GEOMETRY; INTEGRATION; INEQUALITY; CURVATURE; FORMULA; LIEB;
D O I：
10.1007/s00220-019-03605-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the topic of quantum differentiability on quantum Euclidean d-dimensional spaces (otherwise known as Moyal d-spaces), and we find conditions that are necessary and sufficient for the singular values of the quantised differential (d) over barx to have decay O(n(-alpha)) for 0 < alpha <= 1/d. This result is substantially more difficult than the analogous problems for Euclidean space and for quantum d-tori.
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收藏
页码：491 / 542
页数：52
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