报告题目:Schatten Properties of Quantum Derivatives on Quantum Tori
报告时间:2022-01-07 15:30-16:30
报告人:熊枭 教授 哈尔滨工业大学
报告地点:理学院东北楼209报告厅
Abstract:The core ingredients of the quantized calculus, introduced by A. Connes, are a separable Hilbert space H, a unitary self-adjoint operator F on H and a C∗-algebra A represented on H such that for all a ∈A the commutator [F, a] is a compact operator on H. Then the quantized differential of a ∈A is defined to be the operator da = i [F, a] . I will talk about the characterizations of the Schatten properties of quantum derivatives on quantum tori by Sobolev or Besov spaces.