| Título: | Sums of random Hermitian matrices and an inequality by Rudelson |
| Autores: | Oliveira, Roberto I.; IMPA |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Random Hermitian matrices; concentration inequalities; Khintchine inequalities. 60B20 |
| Descripción: | 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. |
| Idioma: | No aplica |
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