| Title: | Inequalities on the essential joint and essential generalized spectral radius |
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| Authors: | ID Lins, Brian (Author) ID Peperko, Aljoša (Author) |
| Files: | PDF - Presentation file, download (316,45 KB) MD5: CFD1B8B2DBDA5328C6FA19F59DA4DBA9
URL - Source URL, visit https://jmi.ele-math.com/18-85/Inequalities-on-the-essential-joint-and-essential-generalized-spectral-radius
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IMFM - Institute of Mathematics, Physics, and Mechanics
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| 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. |
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| 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 |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1489–1514 |
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| Numbering: | Vol. 18, no. 4 |
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| PID: | 20.500.12556/DiRROS-21408  |
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| UDC: | 512.643.535 |
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| ISSN on article: | 1848-9575 |
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| DOI: | 10.7153/jmi-2024-18-85  |
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| COBISS.SI-ID: | 222775555  |
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| Note: |
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| Publication date in DiRROS: | 31.01.2025 |
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| Views: | 517 |
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| Downloads: | 307 |
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