Triangularizability of families of polynomially compact operators
Drnovšek, Roman, 1966- ; Kandić, Marko
Nedavni Shemeshev članek pokaže trikotljivost para ▫$\{A,B\}$▫ kompleksnih matrik, ki zadošča pogoju ▫$A[A,B]=[A,B]B = 0$▫ oziroma ekvivalentno, matriki ▫$A$▫ in ▫$B$▫ komutirata s produktom ▫$AB$▫. ...V tem članku ta rezultat posplošimo na polinomsko kompaktne operatorje na Banachovih prostorih. Nadalje obravnavamo družine polinomsko kompaktnih operatorjev, katerih iterirani komutatorji fiksne dolžine so enaki nič. Dokažemo tudi strukturni izrek za končne družine algebraičnih operatorjev.
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