Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators

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

We prove new inequalities and equalities for the generalized and the joint spectral radius (and their essential versions) of Hadamard (Schur) geometric means of bounded sets of positive kernel operators on Banach function spaces. In the case of non-negative matrices that define operators on Banach sequences, we obtain additional results. Our results extend results of several authors that appeared relatively recently.

• Language: English
• Keywords: Hadamard-Schur geometric mean, Hadamard-Schur product, joint and generalized spectral radius, essential spectral radius, measure of non-compactness, positive kernel operators, non-negative matrices, bounded sets of operators
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: Str. 2839–2857
• Numbering: Vol. 71, no. 17
• PID: 20.500.12556/RUL-152838
• UDC: 517.983:512.643
• ISSN on article: 0308-1087
• DOI: 10.1080/03081087.2022.2121369
• COBISS.SI-ID: 123273475
• Publication date in RUL: 08.12.2023

Record is a part of a journal

• Title: Linear and multilinear algebra
• Shortened title: Linear multilinear algebra
• Publisher: Taylor & Francis
• ISSN: 0308-1087
• COBISS.SI-ID: 25872128

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: Hadamard-Schurova geometrijska sredina, Hadamard-Schurov produkt, skupni in posplošeni spektralni radij, bistveni spektralni radij, mera nekompaktnosti, pozitivni integralski operatorji, nenegativne matrike, omejene množice operatorjev