On the expectation of operator norms of random matrices

Aicke Hinrichs; Joscha Prochno; Alexander E. Litvak; Olivier Guédon

doi:10.1007/978-3-319-45282-1_10

On the expectation of operator norms of random matrices

Aicke Hinrichs
, Joscha Prochno
, Alexander E. Litvak
, Olivier Guédon

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We prove estimates for the expected value of operator norms of Gaussian random matrices with independent (but not necessarily identically distributed) and centered entries, acting as operators from ℓnp∗ to ℓ q m , 1 ≤ p∗ ≤ 2 ≤ q < ∞.

Original language	English
Title of host publication	Geometric Aspects of Functional Analysis. Israel Seminar (GAFA) 2014–2016
Editors	B. Klartag, E. Milman
Publisher	Springer
Pages	151-162
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-319-45282-1_10
Publication status	Published - 2017

Publication series

Name	Lecture Notes in Mathematics

Fields of science

101002 Analysis
101032 Functional analysis

JKU Focus areas

Computation in Informatics and Mathematics

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10.1007/978-3-319-45282-1_10

Cite this

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abstract = "We prove estimates for the expected value of operator norms of Gaussian random matrices with independent (but not necessarily identically distributed) and centered entries, acting as operators from ℓnp∗ to ℓ q m , 1 ≤ p∗ ≤ 2 ≤ q < ∞.",

author = "Aicke Hinrichs and Joscha Prochno and Litvak, \{Alexander E.\} and Olivier Gu{\'e}don",

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AU - Litvak, Alexander E.

AU - Guédon, Olivier

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Y1 - 2017

N2 - We prove estimates for the expected value of operator norms of Gaussian random matrices with independent (but not necessarily identically distributed) and centered entries, acting as operators from ℓnp∗ to ℓ q m , 1 ≤ p∗ ≤ 2 ≤ q < ∞.

AB - We prove estimates for the expected value of operator norms of Gaussian random matrices with independent (but not necessarily identically distributed) and centered entries, acting as operators from ℓnp∗ to ℓ q m , 1 ≤ p∗ ≤ 2 ≤ q < ∞.

UR - https://www.scopus.com/pages/publications/85018504639

U2 - 10.1007/978-3-319-45282-1_10

DO - 10.1007/978-3-319-45282-1_10

M3 - Chapter

T3 - Lecture Notes in Mathematics

SP - 151

EP - 162

BT - Geometric Aspects of Functional Analysis. Israel Seminar (GAFA) 2014–2016

A2 - B. Klartag, E. Milman, null

PB - Springer

ER -

On the expectation of operator norms of random matrices

Abstract

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Fields of science

JKU Focus areas

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