关于简单C*-代数包含关系的傅里叶理论不等式
Fourier theoretic inequalities for inclusion of simple C*-algebras
AI总结：
本文研究了简单C*-代数包含关系中的非交换傅里叶理论不等式，证明了Hirschman-Beckner和Donoho-Stark不确定性原理，并推广了Jiang等人之前的结果。
摘要：
本文起源于试图建立各种非交换傅里叶理论不等式以处理配备有条件期望的简单C*-代数包含关系的尝试。在此设定下，我们讨论了Hausdorff-Young不等式和Young不等式。作为结果，我们证明了Hirschman-Beckner不确定性原理和Donoho-Stark不确定性原理。我们的结果推广了Jiang、Liu和Wu[非交换不确定性原理，J. Funct. Anal., 270(1): 264--311, 2016]的一些结果。
英文摘要：
This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional expectation of index-finite type. In this setting, we discuss the Hausdorff-Young inequality and Young's inequality. As a consequence, we prove the Hirschman-Beckner uncertainty principle and Donoho-Stark uncertainty principle. Our results generalize some of the results of Jiang, Liu and Wu [Noncommutative uncertainty principle, J. Funct. Anal., 270(1): 264--311, 2016].
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