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Pozitivni operatorji na Banachovih mrežah : doktorska disertacijaDrnovšek, Roman, 1966-Uvodno poglavje obravnava osnovne lastnosti Banachovih mrež in operatorjev na njih. Nekoliko podrobneje so obdelani Banachovi funkcijski prostori. V drugem poglavju so najprej definirani Volterrovi ... integralski operatorji na Banachovih funkcijskih prostorih. Opisane so njihove osnovne lastnosti. Nadaljevanje je posvečeno operatorju, ki je posplošitev Volterrovega operatorja (operatorja integriranja) na prostoru ▫$L^2[0,1]$▫. V tretjem poglavju sta obravnavani Collatz-Wielandtovi oceni spektralnega radija pozitivnega operatorja. Zadnje poglavje se ukvarja s vprašanjem, pri katerih pogojih za polgrupo pozitivnih operatorjev na Banachovi mreži obstaja netrivialen zaprt ideal, ki je invarianten za vse operatorje iz polgrupe.Type of material - dissertationPublication and manufacture - Ljubljana : [R. Drnovšek], 1996Language - slovenianCOBISS.SI-ID - 6495321
Author
Drnovšek, Roman, 1966-
Other authors
Omladič, Matjaž
Topics
Analiza |
Operatorska teorija |
Banachove mreže |
Banachovi funkcijski prostori |
integralski operatorji |
pozitivni operatorji |
spektralni radij |
invariantni podprostori |
Banach lattices |
Banach function spaces |
kernel operators |
positive operators |
spectral radius |
invariant subspaces
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Database name | Field | Year |
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Drnovšek, Roman, 1966- | 11709 |
Omladič, Matjaž | 09573 |
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