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Relatively uniformly continuous semigroups of positive operators on vector lattices : doctoral thesisKaplin, Michael, 1990-V disertaciji uvedemo in obravnavamo pojme relativno enakomerne zveznosti in krepke zveznosti glede na relativno enakomerno topologijo za polgrupe operatorjev na splošnih vektorskih mrežah. Z njihovo ... pomočjo obravnavamo polgrupe na prostorih, ki niso lokalno konveksni, kot so ▫$L^p({\mathbb R})$▫ za ▫$0 < p < 1$▫, in nekompletnih prostorih ▫${\rm Lip}({\mathbb R})$▫, ▫${\rm UC}({\mathbb R})$▫ in ▫${\rm C}_c({\mathbb R})$▫. Predstavimo tudi primere relativno enakomerno zveznih polgrup kot so Koopmanove polgrupe in Ornstein-Uhlenbeckova polgrupa. Predstavimo pojme relativno enakomerno zveznih, odvedljivih in integrabilnih funkcij na ▫${\mathbb R}_+$▫. Z njihovo pomočjo obravnavamo generatorje relativno enakomerno zveznih polgrup. Glavni rezultat je izrek tipa Hille-Yosida, ki nudi potrebne in zadostne pogoje, da je operator generator eksponentno urejenostno omejene, relativno enakomerno zvezne in pozitivne polgrupe.Type of material - dissertation ; adult, seriousPublication and manufacture - Ljubljana : [M. Kaplin], 2020Language - englishCOBISS.SI-ID - 32235523
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Repository of the University of Ljubljana – RUL
Digitalna knjižnica Slovenije - dLib.siDostop z namenskih računalnikov v prostorih NUK
Author
Kaplin, Michael, 1990-
Other authors
Kramar Fijavž, Marjeta |
Kandić, Marko
Topics
vektorske mreže |
relativno enakomerna konvergenca |
relativno enakomerna topologija |
relativno enakomerna zveznost |
pozitivne operatorske polgrupe |
krepko zvezne polgrupe |
izrek Hille-Yosida |
vector lattices |
relatively uniform convergence |
relatively uniform topology |
relatively uniform continuity |
positive operator semigroups |
strongly continuous semigroups |
Hille-Yosida theorem
Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
reading room 1 cop.
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National and University Library, Ljubljana | Ljubljana | NUK |
reading room 1 cop.
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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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Kaplin, Michael, 1990- | 39106 |
Kramar Fijavž, Marjeta | 20037 |
Kandić, Marko | 29584 |
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