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Sums of random Hermitian matrices and an inequality by Rudelson

   
@article{ECP1544,
	author = {Roberto Oliveira},
	title = {Sums of random Hermitian matrices and an inequality by Rudelson},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {Random Hermitian matrices; concentration inequalities; Khintchine inequalities.},
	abstract = {We give a new, elementary proof of a key inequality used by Rudelson in the derivation of his well-known bound for random sums of rank-one operators. Our approach is based on Ahlswede and Winter's technique for proving operator Chernoff bounds. We also prove a concentration inequality for sums of random matrices of rank one with explicit constants.},
	pages = {no. 19, 203-212},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1544},    
        url = {http://ecp.ejpecp.org/article/view/1544}}