Odvajanja in avtomorfizmi ▫$C^\ast$▫ -algeber : magistrsko delo
Hladnik, Milan, 1950-
Delo obravnava dve vrsti operatorjev na ▫$C^\ast$▫-algebri ▫$A$▫: avtomorfizme (to je bijekcije iz ▫$A$▫ na ▫$A$▫, ki ohranjajo algebrsko strukturo) in odvajanja (to je operatorje ▫$\delta : A \to ...A$▫ z lastnostjo ▫$\delta(xy) = \delta(x)y + x\delta(y)$▫, če sta ▫$x$▫ in ▫$y$▫ iz ▫$A$▫). V prvem poglavju je dokazan izrek, da je v von Neumannovi algebri vsako odvajanje notranje. V drugem poglavju so raziskane okoliščine, pri katerih je mogoče odvajanja in avtomorfizme ▫$C^\ast$▫-algebre, ki deluje na nekem Hilbertovem prostoru, razširiti na njeno šibko zaprtje. Prav tako je raziskana zveza med notranjimi odvajanji in notranjimi avtomorfizmi ter vprašanje, kdaj avtomorfizem ▫$C^\ast$▫-algebre leži na enakomerno zvezni enoparametrični grupi. Na koncu so obravnavani simetrični avtomorfizmi na posebnih ▫$C^\ast$▫-algebrah.
Type of material - master's thesis
Publication and manufacture - Ljubljana : [M. Hladnik], 1977
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