Inequalities on the essential joint and essential generalized spectral radius

Lins, Brian (author), Peperko, Aljoša (author)

We prove new inequalities for the essential generalized and the essential joint spectral radius of Hadamard (Schur) weighted geometric means of bounded sets of infinite nonnegative matrices that define operators on suitable Banach sequence spaces and of bounded sets of positive kernel operators on L2 . To our knowledge the obtained inequalities are new even in the case of singelton sets.

• Language: English
• Keywords: mathematics, weighted Hadamard-Schur geometric mean, Hadamard-Schur product, essential spectral radius, Haussdorf measure of noncompactness, joint and generalized spectral radius, positive kernel operators, non-negative matrices, bounded sets of operators
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication version: Version of Record
• Publication date: 01.01.2024
• Year: 2024
• Number of pages: Str. 1489–1514
• Numbering: Vol. 18, no. 4
• PID: 20.500.12556/RUL-166586
• UDC: 512.643.535
• ISSN on article: 1848-9575
• DOI: 10.7153/jmi-2024-18-85
• COBISS.SI-ID: 222775555

Note

PDF format

• Publication date in RUL: 17.01.2025

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, bistveni spektralni radij, Haussdorfova mera nekompaktnosti, skupni in posplošeni spektralni radij, pozitivni integralski operatorji, nenegativne matrike, omejene množice operatorjev