On the expectation of operator norms of random matrices

Guédon, Olivier; Hinrichs, Aicke; Litvak, Alexander E.; Prochno, Joscha

Abstract

We prove estimates for the expected value of operator norms of Gaussian random matrices with independent (but not necessarily identically distributed) and centered entries, acting as operators from ℓnp∗ to ℓ q m , 1 ≤ p∗ ≤ 2 ≤ q 

Citation

Guédon, O., Hinrichs, A., Litvak, A. E., & Prochno, J. (2017). On the expectation of operator norms of random matrices. In Lecture Notes in Mathematics; Geometric Aspects of Functional Analysis (151-162). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-45282-1_10

• Acceptance Date: Jun 4, 2017
• Online Publication Date: Apr 19, 2017
• Publication Date: Apr 19, 2017
• Deposit Date: Jun 29, 2018
• Electronic ISSN: 1617-9692
• Pages: 151-162
• Series Title: Lecture Notes in Mathematics
• Series ISSN: 0075-8434
• Book Title: Lecture Notes in Mathematics; Geometric Aspects of Functional Analysis
• Chapter Number: 10
• ISBN: 9783319452814; 9783319452821
• DOI: https://doi.org/10.1007/978-3-319-45282-1_10
• Public URL: https://hull-repository.worktribe.com/output/900280
• Publisher URL: https://link.springer.com/chapter/10.1007/978-3-319-45282-1_10