On the expectation of operator norms of random matrices

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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 lmq, 1 ≤ p* ≤ 2 ≤ q < ∞.

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Guédon, O., Hinrichs, A., Litvak, A. E., & Prochno, J. (2017). On the expectation of operator norms of random matrices. In Lecture Notes in Mathematics (Vol. 2169, pp. 151–162). Springer Verlag. https://doi.org/10.1007/978-3-319-45282-1_10

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