Fourier-theoretic inequalities for inclusions of simple C^∗-algebras

Authors

Keshab Chandra Bakshi, Indian Institute of Technology Kanpur
Satyajit Guin, Indian Institute of Technology Kanpur
Sruthymurali, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

New York Journal of Mathematics

Abstract

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 inequal-ity. 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.

First Page

335

Last Page

362

Publication Date

1-1-2023

Recommended Citation

Bakshi, Keshab Chandra; Guin, Satyajit; and Sruthymurali, "Fourier-theoretic inequalities for inclusions of simple C^∗-algebras" (2023). Journal Articles. 3968.
https://digitalcommons.isical.ac.in/journal-articles/3968