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An operator is a product of two quasi-nilpotent operators if and only if it is not semi-FredholmDrnovšek, Roman, 1966- ; Novak, Nika, matematičarka ; Müller, VladimirV članku pokažemo, da (omejen, linearen) operator na neskončno razsežnem, separabilnem, kompleksnem Hilbertovem prostoru lahko zapišemo kot produkt dveh kvazinilpotentnih operatorjev natanko tedaj, ... ko ni delno Fredholmov operator. To reši problem, ki sta ga leta 1984 zastavila Fong in Sourour. Obravnavamo tudi nekaj tesno povezanih vprašanj. Pokažemo, da operator lahko zapišemo kot produkt dveh nilpotentnih operatorjev natanko tedaj, ko sta jedro in kojedro neskončno razsežna. To odgovori na vprašanje, ki ga je posredno zastavil Wu leta 1989.Source: Proceedings. Section A, Mathematics. - ISSN 0308-2105 (Vol. 136, no. 5, 2006, str. 935-944)Type of material - article, component partPublish date - 2006Language - englishCOBISS.SI-ID - 14184793
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Drnovšek, Roman, 1966- | 11709 |
Novak, Nika, matematičarka | 24184 |
Müller, Vladimir | ![]() |
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