On the expectation of operator norms of random matrices

Olivier Guédon (1) , Aicke Hinrichs , A. E. Litvak , Joscha Prochno

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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 l(p)(n)* to l(q)(m), 1 <= p* <= 2 <= q < infinity.

Domaines: Analyse fonctionnelle [math.FA]

Olivier Guédon, Aicke Hinrichs, A. E. Litvak, Joscha Prochno. On the expectation of operator norms of random matrices. Lecture Notes in Mathematics, 2017, 2169, pp.151-162. ⟨10.1007/978-3-319-45282-1_10⟩. ⟨hal-02269163⟩