Short note on some geometric inequalities derived from matrix inequalities

Lombardi, Nico; Saorín Gómez, Eugenia

doi:10.1007/s11117-024-01042-7

Record link:

http://hdl.handle.net/20.500.12708/197704

Title:

Short note on some geometric inequalities derived from matrix inequalities

Citation:

Lombardi, N., & Saorín Gómez, E. (2024). Short note on some geometric inequalities derived from matrix inequalities. Positivity, 28, Article 26. https://doi.org/10.1007/s11117-024-01042-7

Publisher DOI:

10.1007/s11117-024-01042-7

CatalogPlus:

AC17207573

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Lombardi, Nico
Saorín Gómez, Eugenia

Organisational Unit:

E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie

Journal:

Positivity

ISSN:

1385-1292

Date (published):

Apr-2024

Number of Pages:

Publisher:

SPRINGER

Peer reviewed:

Yes

Keywords:

positive semidefinite matrices; determinant; ellipsoids; projection; L_2 zonoids

Abstract:

Using the connection between ellipsoids and positive semidefinite matrices we provide alternative proofs to some recently proven inequalities concerning the volume of L2 zonoids as consequences of classical inequalities for matrices.

Project (external):

Ministerio de Ciencia, Innovación y Universidades (Spain)

Project ID:

PGC2018-097046-B-I00

Research Areas:

Fundamental Mathematics Research: 100%

Science Branch:

1010 - Mathematik: 100%

License:

CC BY 4.0