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Some estimates of norms of random matrices
Authors:Rafal Latala
Institution:Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
Abstract:We show that for any random matrix $(X_{ij})$ with independent mean zero entries

\begin{displaymath}\mathbf{E}\Vert(X_{ij})\Vert\leq C \Big(\max_{i}\sqrt{\sum_{j... ...} X_{ij}^{2}}+ \sqrt4]{\sum_{ij} \mathbf{E} X_{ij}^{4}} \Big),\end{displaymath}

where $C$ is some universal constant.

Keywords:Random matrices  operator norm
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