### Abstract

Under rather general conditions on the matrix entries, we obtain estimates for the probability distribution of the norm of a random matrix transformation from l^{2} to l^{q} (2 ≦ q 2 to l^{q}. As an application, we complete the characterization of (p, q)- absolutely summing operators on Hilbert space, thereby answering a question left open by several previous authors.

Original language | English (US) |
---|---|

Pages (from-to) | 359-365 |

Number of pages | 7 |

Journal | Pacific Journal of Mathematics |

Volume | 59 |

Issue number | 2 |

State | Published - 1975 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Pacific Journal of Mathematics*,

*59*(2), 359-365.

**Norms of random matrices.** / Bennett, G.; Goodman, V.; Newman, Charles.

Research output: Contribution to journal › Article

*Pacific Journal of Mathematics*, vol. 59, no. 2, pp. 359-365.

}

TY - JOUR

T1 - Norms of random matrices

AU - Bennett, G.

AU - Goodman, V.

AU - Newman, Charles

PY - 1975

Y1 - 1975

N2 - Under rather general conditions on the matrix entries, we obtain estimates for the probability distribution of the norm of a random matrix transformation from l2 to lq (2 ≦ q 2 to lq. As an application, we complete the characterization of (p, q)- absolutely summing operators on Hilbert space, thereby answering a question left open by several previous authors.

AB - Under rather general conditions on the matrix entries, we obtain estimates for the probability distribution of the norm of a random matrix transformation from l2 to lq (2 ≦ q 2 to lq. As an application, we complete the characterization of (p, q)- absolutely summing operators on Hilbert space, thereby answering a question left open by several previous authors.

UR - http://www.scopus.com/inward/record.url?scp=84972549296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972549296&partnerID=8YFLogxK

M3 - Article

VL - 59

SP - 359

EP - 365

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -