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Posplošene ekstremne točke v normiranih prostorih : disertacijaLešnjak, GorazdZa različne posplošitve pojmov iz geometrije zaprte enotske krogle normiranega prostora so prikazani medsebojni odnosi in zveze s teorijo konveksnih podmnožic linearnih prostorov. Posplošitve stroge ... konveksnosti in gladkosti so kot v klasičnem primeru dualni pojmi. Kompleksna enakomerna konveksnost je za prostore vektorskih mer s končno variacijo lastnost, ki jo le-ti podedujejo od prostora vrednostnih mer. Raziskani so tudi posebni primeri posplošenih ekstremnih točk teh prostorov. Rezultati omogočajo določitev posplošenih ekstremnih točk duala prostora kompaktnih operatorjev iz AL-prostora v drug Banachov prostor. Podani sta karakterizaciji posplošenih ekstremnih točk prostorov ▫${\cal C}_1({\cal H})$▫ in ▫$K(c_0)^\ast$▫.Type of material - dissertationPublication and manufacture - Ljubljana : [G. Lešnjak], 1988Language - slovenianCOBISS.SI-ID - 102661
Author
Lešnjak, Gorazd
Other authors
Omladič, Matjaž
Topics
matematika |
funkcionalna analiza |
teorija operatorjev |
geometrija normiranih prostorov |
ekstremne točke |
točke gladkosti |
odvedljivost norme |
stroga konveksnost |
kompleksna enakomerna konveksnost |
kompaktni operatorji |
princip maksima |
mathematics |
functional analysis |
operator theory |
geometry of normed spaces |
extreme points |
points of smoothness |
differentiability of norm |
strict convexity |
extreme points |
complex uniform convexity |
compact operators |
the maximum principles
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Central Technological Library of the University of Ljubljana | Ljubljana | CTK |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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National and University Library, Ljubljana | Ljubljana | NUK |
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Database name | Field | Year |
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Lešnjak, Gorazd | 07082 |
Omladič, Matjaž | 09573 |
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