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Order isomorphisms of operator intervals
Šemrl, Peter
V članku razvijemo splošno teorijo urejenostnih izomorfizmov operatorskih intervalov. S tem poenotimo in posplošimo več že znanih rezultatov, med drugim znamenito Ludwigovo karakterizacijo ...orto-urejenostnih avtomorfizmov efektne algebra in Molnárjev opis bijektvnih ohranjevalcev urejenosti na množici sebi-adjungiranih operatorjev. Poleg nekaterih novih rezultatov je glavni prispevek članka elementaren enoten dokaz več znanih izrekov, katerih originalni dokazi so bili precej bolj zapleteni in so sloneli ne netrivialnih orodjih funkcionalne analize, operatorske teorije in geometrije. Z uporabo Löwnerjeve teorije operatorsko monotonih funkcij pokažemo optimalnost dobljenih rezultatov.
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