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An operator is a product of two quasi-nilpotent operators if and only if it is not semi-Fredholm
Drnovšek, Roman, 1966- ; Novak, Nika, matematičarka ; Müller, Vladimir
V 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.
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