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Some estimates of norms of random matrices


Author: Rafal Latala
Journal: Proc. Amer. Math. Soc. 133 (2005), 1273-1282
MSC (2000): Primary 15A52; Secondary 60G15
DOI: https://doi.org/10.1090/S0002-9939-04-07800-1
Published electronically: December 15, 2004
MathSciNet review: 2111932
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Abstract | References | Similar Articles | Additional Information

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}}+ \sqrt[4]{\sum_{ij} \mathbf{E} X_{ij}^{4}} \Big),\end{displaymath}

where $C$ is some universal constant.


References [Enhancements On Off] (What's this?)

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Additional Information

Rafal Latala
Affiliation: Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
Email: rlatala@mimuw.edu.pl

DOI: https://doi.org/10.1090/S0002-9939-04-07800-1
Keywords: Random matrices, operator norm
Received by editor(s): June 27, 2002
Received by editor(s) in revised form: October 15, 2003
Published electronically: December 15, 2004
Additional Notes: This research was partially supported by KBN grant #2 PO3A 027 22
Communicated by: Richard C. Bradley
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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