Monotonicity properties of weighted geometric symmetrizations

Bogdanović, Katarina (author), Peperko, Aljoša (author)

We prove new monotonicity properties for spectral radius, essential spectral radius, operator norm, Hausdorff measure of non-compactness and numerical radius of products and sums of weighted geometric symmetrizations of positive kernel operators on L2 . To our knowl- edge, several proved properties are new even in the finite dimensional case.

• Language: English
• Keywords: mathematics, weighted Hadamard-Schur geometric mean, Hadamard-Schur product, spectral radius, operator norm, Hausdorff measure of non-compactness, numerical radius, non-negative matrices, positive kernel operators
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.12.2024
• Year: 2024
• Number of pages: Str. 1535–1546
• Numbering: Vol. 18, no. 4
• PID: 20.500.12556/RUL-166651
• UDC: 512.643.535
• ISSN on article: 1848-9575
• DOI: 10.7153/jmi-2024-18-87
• COBISS.SI-ID: 223155203

Note

PDF format

• Publication date in RUL: 20.01.2025

Record is a part of a journal

• Title: Journal of mathematical inequalities
• Shortened title: J. math. inequal.
• Publisher: Element
• ISSN: 1848-9575
• COBISS.SI-ID: 222775043

Licences

• License: CC BY-NC 3.0, Creative Commons Attribution-NonCommercial 3.0 Unported
• Link: http://creativecommons.org/licenses/by-nc/3.0/
• Description: You are free to reproduce and redistribute the material in any medium or format. You are free to remix, transform, and build upon the material. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Secondary language

• Language: Slovenian
• Keywords: matematika, utežena Hadamard-Schurova geometrijska sredina, Hadamard-Schurov produkt, spektralni radij

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0222-2022
• Name: Algebra, teorija operatorjev in finančna matematika

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: J2-2512-2020
• Name: Stohastični modeli za logistiko proizvodnih procesov