Diametraalse diameeter-2 omadusega Banachi ruumid
Diametraalse diameeter-2 omadusega Banachi ruumid
Magistritöö lähtekohaks on Becerra Guerrero, López-Pérezi ja Rueda Zoca artikkel Diametral diameter two properties (arXiv:1509.02061v4 [math.FA]), kus uuriti kolme diametraalset diameeter-2 omadust, mis jäävad tuntud Daugaveti omaduse ja hiljuti intensiivselt uuritud diameeter-2 omaduste vahele. Põhieesmärgiks on selgitada nende seost Daugaveti omadusega. Töös näidatakse, et diametraalne lokaalne diameeter-2 ja diametraalne diameeter-2 omadus kanduvad ruumidelt nende absoluutse normiga otsesummale. Üks põhitulemustest ütleb, et diametraalne tugev diameeter-2 omadus kandub ruumidelt nende 1-summale ja annab positiivse vastuse nimetatud artiklis esitatud küsimusele.
- University of Tartu Estonia
nõrgalt lahtine alamhulk, diameeter-2 omadus, Banachi ruum, magistritöö, Daugaveti omadus
nõrgalt lahtine alamhulk, diameeter-2 omadus, Banachi ruum, magistritöö, Daugaveti omadus
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