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Analiza. Del 9, Končnorazsežni operatorji
Omladič, Matjaž
Delo je sestavljeno iz dveh osnovnih dokumentov. V prvem je vpeljan nov algebraičen pristop k študiju operatorskih polinomov kot polinomov nad algebrami endomorfizmov nad vektorskimi prostori.Ti so ...postavljeni v okvir polinomskih modulov odnosno njihovih komodulskih dualov, to so komoduli linearno rekurzivnih zaporedij. Podkomoduli, ki nadomeščajo pojem Jordanskih matričnih parov, vsebujejo dovolj informacije, da je iz njih možno razbrati polinome do obrnljivih faktorjev natančno. V drugem delu so dokazane analogije k Jacobsonovem in Burnsidovem izreku o gostoti za Jordanske algebre operatorjev, to je njihove linearne podprostore, zaprte še za operacijo ▫$AB+BA$▫. Kot običajno, veljajo ti rezultati le nad obsegi s karakteristiko različno od 2.
Type of material - research report
Publication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1991
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