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Analiza. Del 4, Posplošitve pojma ekstremne točkeLešnjak, Gorazd ; Hladnik, Milan, 1950-Naloga definira posplošitve pojmov ekstremne točke, točke gladkosti in šibke diferenciabilnosti norme. Obravnava odnose z znanimi pojmi geometrije normiranih prostorov. Pokaže, da tudi za posplošene ... pojme veljajo rezultati, ki so analogni klasičnim. Podana je krepka oblika izreka o maksimumu norme za holomorfne preslikave z vrednostmi v normiranih prostorih. Izpelje kriterij za kompleksno enakomerno konveksnost prostora končno aditivnih vektorskih norm. Karakterizira kompleksne ekstremne točke nekaterih prostorov operatorjev oziroma njihovih dualov.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1986Language - english, slovenianCOBISS.SI-ID - 7625817
Author
Lešnjak, Gorazd |
Hladnik, Milan, 1950-
Topics
matematika |
funkcionalna analiza |
teorija operatorjev |
Banachov prostor |
konveksnost |
gladkost |
diferenciabilnost norme |
kompaktni operatorji |
končno aditivne vektorske mere |
mathematics |
functional analysis |
operator theory |
Banach space |
convexity |
smoothness |
differentiability of the norm |
compact operators |
finitely additive vector measures
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
reading room 1 cop.
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Database name | Field | Year |
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Lešnjak, Gorazd | 07082 |
Hladnik, Milan, 1950- | 03429 |
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