| Autor: |
Bakshi, Keshab Chandra, Guin, Satyajit, Sruthymurali |
| Předmět: |
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| Zdroj: |
New York Journal of Mathematics; 2023, Vol. 29, p335-362, 28p |
| Abstrakt: |
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]. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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