HOW MANY MATRICES CAN BE SPECTRALLY BALANCED SIMULTANEOUSLY?

Ronen Eldan; Fedor Nazarov; Yuval Peres

doi:https://doi.org/10.1007/s11856-018-1652-x

HOW MANY MATRICES CAN BE SPECTRALLY BALANCED SIMULTANEOUSLY?

Ronen Eldan, Fedor Nazarov, Yuval Peres

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that any l positive definite d x d matrices, M-1, ... ,M-l, of full rank, can be simultaneously spectrally balanced in the following sense: for any k <d such that l

Original language	English
Pages (from-to)	385-406
Number of pages	22
Journal	Israel Journal of Mathematics
Volume	224
Issue number	1
DOIs	https://doi.org/10.1007/s11856-018-1652-x
State	Published - Apr 2018

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Cite this

@article{fcd055fb1fe94f1cb9bca96efc499c17,

title = "HOW MANY MATRICES CAN BE SPECTRALLY BALANCED SIMULTANEOUSLY?",

abstract = "We prove that any l positive definite d x d matrices, M-1, ... ,M-l, of full rank, can be simultaneously spectrally balanced in the following sense: for any k ",

author = "Ronen Eldan and Fedor Nazarov and Yuval Peres",

year = "2018",

month = apr,

doi = "https://doi.org/10.1007/s11856-018-1652-x",

language = "الإنجليزيّة",

volume = "224",

pages = "385--406",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",