| Title: | Monotonicity properties of weighted geometric symmetrizations |
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| Authors: | ID Bogdanović, Katarina (Author)
ID Peperko, Aljoša (Author) |
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| Files: |  PDF - Presentation file, download (197,36 KB)
MD5: 10E1C0679FF649640A5CC77B36C003F3
 URL - Source URL, visit https://jmi.ele-math.com/18-87/Monotonicity-properties-of-weighted-geometric-symmetrizations
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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 monotonicity properties for spectral radius, essential spectral radius, operator norm, Hausdorff measure of non-compactness and numerical radius of products and sums of weighted geometric symmetrizations of positive kernel operators on $L^2$. To our knowledge, several proved properties are new even in the finite dimensional case. |
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| Keywords: | mathematics, weighted Hadamard-Schur geometric mean, Hadamard-Schur product, spectral radius, operator norm, Hausdorff measure of non-compactness, numerical radius, non-negative matrices, positive kernel 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. 1535–1546 |
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| Numbering: | Vol. 18, no. 4 |
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| PID: | 20.500.12556/DiRROS-21407  |
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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-2024-18-87 |
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| COBISS.SI-ID: | 223155203 |
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| Note: |
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| Publication date in DiRROS: | 31.01.2025 |
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| Views: | 519 |
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| Downloads: | 299 |
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| Metadata: |    |
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