Matematična analiza. Del 4, Posplošena odvajanja in sorodni operatorji
Magajna, Bojan
Naloga odgovori na nekaj vprašanj o operatorskih enačbah, elementarnih operatorjih, posplošenih odvajanjih in podobnih operatorjih. Izpelje kriterij za rešljivost nekega sistema bilinearnih ...operatorskih enačb, dobljeni rezultat pa uporabi pri proučevanju zalog vrednosti elementarnih operatorjev. Določi spektre elementarnih operatorjev na Calkinovi algebri ter bistvene numerične zaklade posplošenih odvajanj na Hilbert-Schmidtovem razredu. Nadalje opredeli subnormalna in kvazinormalna posplošena odvajanja na Hilbert-Schmidtovem razredu ter izračuna spekter operatorja ▫$x\to ax + (ax)^\ast$▫ na algebri ▫$B(H)$▫ in na Calkinovi algebri.
Type of material - research report
; adult, serious
Publication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1985
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