Norms on complex matrices induced by complete homogeneous symmetric polynomials

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Norms on complex matrices induced by complete homogeneous symmetric polynomials. / Aguilar, Konrad; Chávez, Ángel; Garcia, Stephan Ramon; Volčič, Jurij.

In: Bulletin of the London Mathematical Society, Vol. 54, No. 6, 2022, p. 2078-2100.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Aguilar, K, Chávez, Á, Garcia, SR & Volčič, J 2022, 'Norms on complex matrices induced by complete homogeneous symmetric polynomials', Bulletin of the London Mathematical Society, vol. 54, no. 6, pp. 2078-2100. https://doi.org/10.1112/blms.12679

APA

Aguilar, K., Chávez, Á., Garcia, S. R., & Volčič, J. (2022). Norms on complex matrices induced by complete homogeneous symmetric polynomials. Bulletin of the London Mathematical Society, 54(6), 2078-2100. https://doi.org/10.1112/blms.12679

Vancouver

Aguilar K, Chávez Á, Garcia SR, Volčič J. Norms on complex matrices induced by complete homogeneous symmetric polynomials. Bulletin of the London Mathematical Society. 2022;54(6):2078-2100. https://doi.org/10.1112/blms.12679

Author

Aguilar, Konrad ; Chávez, Ángel ; Garcia, Stephan Ramon ; Volčič, Jurij. / Norms on complex matrices induced by complete homogeneous symmetric polynomials. In: Bulletin of the London Mathematical Society. 2022 ; Vol. 54, No. 6. pp. 2078-2100.

Bibtex

@article{271ca46a5b9142b8a07b392f25bb1975,
title = "Norms on complex matrices induced by complete homogeneous symmetric polynomials",
abstract = "We introduce a remarkable new family of norms on the space of (Formula presented.) complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in non-commuting variables. Our norms enjoy many desirable analytic and algebraic properties, such as an elegant determinantal interpretation and the ability to distinguish certain graphs that other matrix norms cannot. Furthermore, they give rise to new dimension-independent tracial inequalities. Their potential merits further investigation.",
author = "Konrad Aguilar and {\'A}ngel Ch{\'a}vez and Garcia, {Stephan Ramon} and Jurij Vol{\v c}i{\v c}",
note = "Publisher Copyright: {\textcopyright} 2022 The Authors. Bulletin of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",
year = "2022",
doi = "10.1112/blms.12679",
language = "English",
volume = "54",
pages = "2078--2100",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "6",

}

RIS

TY - JOUR

T1 - Norms on complex matrices induced by complete homogeneous symmetric polynomials

AU - Aguilar, Konrad

AU - Chávez, Ángel

AU - Garcia, Stephan Ramon

AU - Volčič, Jurij

N1 - Publisher Copyright: © 2022 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.

PY - 2022

Y1 - 2022

N2 - We introduce a remarkable new family of norms on the space of (Formula presented.) complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in non-commuting variables. Our norms enjoy many desirable analytic and algebraic properties, such as an elegant determinantal interpretation and the ability to distinguish certain graphs that other matrix norms cannot. Furthermore, they give rise to new dimension-independent tracial inequalities. Their potential merits further investigation.

AB - We introduce a remarkable new family of norms on the space of (Formula presented.) complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in non-commuting variables. Our norms enjoy many desirable analytic and algebraic properties, such as an elegant determinantal interpretation and the ability to distinguish certain graphs that other matrix norms cannot. Furthermore, they give rise to new dimension-independent tracial inequalities. Their potential merits further investigation.

UR - http://www.scopus.com/inward/record.url?scp=85130954048&partnerID=8YFLogxK

U2 - 10.1112/blms.12679

DO - 10.1112/blms.12679

M3 - Journal article

AN - SCOPUS:85130954048

VL - 54

SP - 2078

EP - 2100

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 6

ER -

ID: 317817409