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Title: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
Authors:ID Bogdanović, Katarina (Author)
ID Peperko, Aljoša (Author)
Files:.pdf PDF - Presentation file, download (1,72 MB)
MD5: 086AACCD7CEC0E0D71131025E1337B54
 
URL URL - Source URL, visit https://www.tandfonline.com/doi/full/10.1080/03081087.2022.2121369
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract: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 nonnegative matrices that define operators on Banach sequences we obtain additional results. Our results extend results of several authors that appeared relatively recently.
Keywords:Hadamard-Schur geometric mean, Hadamard-Schur product, joint and generalized spectral radius, essential spectral radius, measure of noncompactness, positive kernel operators, non-negative matrices, bounded sets of operators
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2023
Year of publishing:2023
Number of pages:str. 2839-2857
Numbering:Vol. 71, iss. 17
PID:20.500.12556/DiRROS-20512 New window
UDC:517.983:512.643
ISSN on article:0308-1087
DOI:10.1080/03081087.2022.2121369 New window
COBISS.SI-ID:123273475 New window
Publication date in DiRROS:03.10.2024
Views:215
Downloads:118
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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 New window

Document is financed by a project

Funder:EC - European Commission
Funding programme:Erasmus+, European Mobility
Project number:KA103

Funder:Other - Other funder or multiple funders
Funding programme:COST
Project number:CA18232

Funder:ARRS - Slovenian Research Agency
Project number:P1-0222
Name:Algebra, teorija operatorjev in finančna matematika

Funder:ARRS - Slovenian Research Agency
Project number:P1-0288
Name:Algebra in njena uporaba

Funder:ARRS - Slovenian Research Agency
Project number:J1-8133
Name:Preslikave na matrikah in operatorjih

Funder:ARRS - Slovenian Research Agency
Project number:J2-2512
Name:Stohastični modeli za logistiko proizvodnih procesov

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:Hadamardova-Schurova geometrijska sredina, Hadamardov-Schurov produkt, skupni in posplošeni spektralni radij, bistveni spektralni radij, mera nekompaktnosti, pozitivni integralski operatorji, nenegativne matrike, omejene množice operatorjev


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