Submultiplikativne norme : magistrsko delo

FMF, Mathematical Library, Lj. (MAKLJ)

Submultiplikativne norme : magistrsko delo

Mojškerc, Blaž

Najprej okarakteriziramo vse operatorske matrične norme v množici vseh submultiplikativnih matričnih norm. Izkaže so, da so to natanko minimalni elementi v množici vseh submultiplikativnih matričnih ... norm glede na običajno delno urejenost. Nadaljujemo s Sebestyenovima izrekoma, po katerih sta vsaka ▫$^\ast$▫-polnorma in kvadratična polnorma nujno submultiplikativni. Delo zaključimo s primeri algeber, ki ne dopuščajo submultiplikativne norme. izkaže se, da na algebri ▫$\mathcal{L}(X)$▫ vseh linearnih preslikav na neskončno razsežnem vektorkem prostoru ▫$X$▫ ne obstaja niti submultiplikativna polnorma, za neobstoj submultiplikativne norme na prostoru zveznih funkcij ▫$C(\Omega)$▫ pa zadošča obstoj neomejene zvezne funkcije na ▫$\Omega$▫.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Ljubljana : [B. Mojškerc], 2004

Language - slovenian

COBISS.SI-ID - 13196121

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Drnovšek, Roman, 1966-

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Skladišče-Jadranska 21 10941/129	available - reading room

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Mojškerc, Blaž
Drnovšek, Roman, 1966-	11709

Source: Personal bibliographies and: SICRIS

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