| Naslov: | Positive self-commutators of positive operators |
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| Avtorji: | ID Drnovšek, Roman (Avtor)
ID Kandić, Marko (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (280,94 KB)
MD5: 8588752116FD4D80DA269D761CD855FB
 URL - Izvorni URL, za dostop obiščite https://link.springer.com/article/10.1007/s11117-025-01135-x
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | We consider a positive operator $A$ on a Hilbert lattice such that its self-commutator $C = A^* A - A A^*$ is positive. If $A$ is also idempotent, then it is an orthogonal projection, and so $C = 0$. Similarly, if $A$ is power compact, then $C = 0$ as well. We prove that every positive compact central operator on a separable infinite-dimensional Hilbert lattice ${\mathcal H}$ is a self-commutator of a positive operator. We also show that every positive central operator on ${\mathcal H}$ is a sum of two positive self-commutators of positive operators. |
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| Ključne besede: | Banach lattices, positive operators, commutators |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.07.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | 17 str. |
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| Številčenje: | Vol. 29, iss. 3, article no. 43 |
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| PID: | 20.500.12556/DiRROS-23900  |
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| UDK: | 517.9 |
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| ISSN pri članku: | 1385-1292 |
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| DOI: | 10.1007/s11117-025-01135-x |
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| COBISS.SI-ID: | 240577795 |
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| Datum objave v DiRROS: | 20.10.2025 |
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| Število ogledov: | 245 |
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| Število prenosov: | 95 |
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| Metapodatki: |    |
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