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Ideal-triangularizability of nil-algebras generated by positive operatorsKandić, MarkoR. Drnovšek, D. Kokol-Bukovšek, L. Livshits, G. MacDonald, M. Omladič in H. Radjavi so skonstruirali tako ireducibilno množico nilpotentnih operatorjev na ▫$L^p[0,1)$▫, ki je zaprta za množenje, ... seštevanje in množenje s pozitivnimi števili, da je vsaka končna podmnožica idealsko-trikotljiva. V članku dokažemo naslednje: 1. vsaka algebra nilpotentnih operatorjev na Banachovi mreži, ki je generirana z množico pozitivnih operatorjev je idealsko-trikotljiva, če je indeks nilpotentnosti operatorjev omejen; 2. vsaka končna podmnožica algebre nilpotentnih operatorjev na Banachovi mreži, ki je generirana z množico pozitivnih operatorjev, je idealsko-trikotljiva.Source: Proceedings of the American Mathematical Society. - ISSN 0002-9939 (Vol. 139, no. 2, 2011, str. 485-490)Type of material - article, component partPublish date - 2011Language - englishCOBISS.SI-ID - 15710809
Author
Kandić, Marko
Topics
matematika |
teorija operatorjev |
Banachove mreže |
pozitivni operatorji |
operatorske polgrupe |
idealska-razcepnost |
idealska-trikotljivost |
nilpotentne algebre |
nil algebre |
mathematics |
operator theory |
Banach lattices |
positive operators |
operator semigroups |
ideal-reducibility |
ideal-triangularizability |
nilpotent algebras |
nil-algebras
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source: Proceedings of the American Mathematical Society. - ISSN 0002-9939 (Vol. 139, no. 2, 2011, str. 485-490)
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