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Matematična analiza. Del 2, Toeplitzovi operatorji na Bergmanovih prostorih
Magajna, Bojan ; Hladnik, Milan, 1950-
Naloga v prvem delu obravnava unitarno ekvivalenco posebnega razreda operatorjev na Hilbertovem prostoru. Vprašanje, kdaj sta dva operatorja iz razreda med seboj unitarno ekvivalentna, se prevede na ...določen problem o matričnih holomorfnih funkcijah. V drugem delu je opisan bistveni spekter t.im. posplošenih Toeplitzovih operatorjev, ki pripadajo danemu bistveno normalnemu subnormalnemu operatorju. Tretji del vsebuje nekaj primerov določevanja spektra Toeplitzovih operatorjev na Bergmanovih prostorih in odgovore na vprašanja, kdaj je Toeplitzov operator na Bergmanovem prostoru Hilbert-Schmidtov, kdaj je v razredu s sledjo in kdaj je kompakten za pozitiven simbol.
Type of material - research report
; adult, serious
Publication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1983
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