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Analiza. Del 9, Končnorazsežni operatorjiOmladič, MatjažDelo 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 reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1991Language - slovenianCOBISS.SI-ID - 8102745
Author
Omladič, Matjaž
Other authors
Radjavi, Heydar |
Grunenfelder, Luzius |
Holbrook, John
Topics
matematika |
neasociativni kolobarji in algebre |
linearna algebra |
teorija operatorjev |
operatorski polinomi |
Hopfove algebre |
moduli |
komoduli |
invariantni podprostori |
tranzitivnost |
Jordanske algebre |
izreki o gostoti |
mathematics |
nonassociative ring and algebra |
linear algebra |
operator theory |
operator polynomials |
Hopf algebras |
modules |
comodules |
invariant subspaces |
transitivity |
Jordan algebras |
density theorems
Library | Call number – location, accession no. ... | Copy status |
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FMF, Mathematical Library, Lj. | Skladišče-Jadranska 19 10920/276 |
available - reading room |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Omladič, Matjaž | 09573 |
Radjavi, Heydar | 01395 |
Grunenfelder, Luzius | 11960 |
Holbrook, John |
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