
handle: 10062/53789
Bakalaureusetöös antakse J. Becerra Guerrero, G. LópezPérezi ja A. Rueda Zoca artikli Octahedrality in Lipschitz free Banach spaces (vt arXiv:1512.03558v1 [math.FA], 11. dets. 2015) põhitulemustele alternatiivne tõestus. Need tulemused näitavad kolmel erijuhul Lipschitzi-vaba Banachi ruumi oktaeedrilisust. Originaaltõestustes näidatakse, et Lipschitzivaba ruumi kaasruum rahuldab oktaeedrilisuse teatud duaalset kirjeldust. Bakalaureusetöös esitatud alternatiivsetes tõestustes näidatakse oktaeedrilisust definitsiooni põhjal.
Banachi ruumid, normeeritud ruumid, meetrilised ruumid, bakalaureusetöö, funktsionaalanalüüs, mittelineaarsed operaatorid
Banachi ruumid, normeeritud ruumid, meetrilised ruumid, bakalaureusetöö, funktsionaalanalüüs, mittelineaarsed operaatorid
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