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Title:Inequalities on the essential joint and essential generalized spectral radius
Authors:ID Lins, Brian (Author)
ID Peperko, Aljoša (Author)
Files:.pdf PDF - Presentation file, download (316,45 KB)
MD5: CFD1B8B2DBDA5328C6FA19F59DA4DBA9
 
URL URL - Source URL, visit https://jmi.ele-math.com/18-85/Inequalities-on-the-essential-joint-and-essential-generalized-spectral-radius
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract: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 $L^2$. To our knowledge the obtained inequalities are new even in the case of singelton sets.
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
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2024
Year of publishing:2024
Number of pages:str. 1489–1514
Numbering:Vol. 18, no. 4
PID:20.500.12556/DiRROS-21408 New window
UDC:512.643.535
ISSN on article:1848-9575
DOI:10.7153/jmi-2024-18-85 New window
COBISS.SI-ID:222775555 New window
Note:
Publication date in DiRROS:31.01.2025
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Downloads:307
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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 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:BI-US/22-24-046
Name:Spektralne lastnosti in numerični zaklad linearnih in nelinearnih operatorjev

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

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

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


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