A DEFINITIVE DETERMINANT MAJORIZATION RESULT FOR NONLINEAR OPERATORS

F. Reese Harvey; H. Blaine Lawson

doi:10.1215/00127094-2025-0003

A DEFINITIVE DETERMINANT MAJORIZATION RESULT FOR NONLINEAR OPERATORS

F. Reese Harvey
, H. Blaine Lawson

Mathematics

Rice University

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

1 Scopus citations

Abstract

Let g be a Gårding–Dirichlet operator on the set S(n) of symmetric n × n matrices. We assume that g is I-central, that is, DIg D kI for some k>0.Then (formula presented) From work of Guo, Phong, Tong, Abja, Dinew, Olive, and many others, this inequality has important applications.

Original language	English
Pages (from-to)	2749-2763
Number of pages	15
Journal	Duke Mathematical Journal
Volume	174
Issue number	13
DOIs	https://doi.org/10.1215/00127094-2025-0003
State	Published - Sep 15 2025

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abstract = "Let g be a G{\aa}rding{\textendash}Dirichlet operator on the set S(n) of symmetric n {\texttimes} n matrices. We assume that g is I-central, that is, DIg D kI for some k>0.Then (formula presented) From work of Guo, Phong, Tong, Abja, Dinew, Olive, and many others, this inequality has important applications.",

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N2 - Let g be a Gårding–Dirichlet operator on the set S(n) of symmetric n × n matrices. We assume that g is I-central, that is, DIg D kI for some k>0.Then (formula presented) From work of Guo, Phong, Tong, Abja, Dinew, Olive, and many others, this inequality has important applications.

AB - Let g be a Gårding–Dirichlet operator on the set S(n) of symmetric n × n matrices. We assume that g is I-central, that is, DIg D kI for some k>0.Then (formula presented) From work of Guo, Phong, Tong, Abja, Dinew, Olive, and many others, this inequality has important applications.

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JF - Duke Mathematical Journal

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A DEFINITIVE DETERMINANT MAJORIZATION RESULT FOR NONLINEAR OPERATORS

Abstract

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