| Title: | Extensions of the notion of extreme point |
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| Authors: | ID Lešnjak, Gorazd (Author) |
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| Files: |  http://web.math.pmf.unizg.hr/glasnik/Vol/vol25no1.html
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | Vpeljemo pojme ▫$nr$▫-ekstremne, ▫$nc$▫-ekstremne in ▫$n$▫-ekstremne točke enotske sfere v normiranem prostoru. Banachovi prostori, v katerih so vse točke enotske sfere ▫$nc$▫-ekstremne, so natanko tisti, v katerih velja za analitične funkcije posplošitev krepke oblike izreka o maksimu absolutne vrednosti. Dokazanih je nekaj rezultatov o posplošeni strogi konveksnosti in gladkosti, ki so podobni znani dualnosti med običajno strogo konveksnostjo in gladkostjo. Članek obravnava tudi odnose med posplošeno gladkostjo in šibko diferenciabilnostjo norme. |
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| Keywords: | matematika, funkcionalna analiza, Ekstremna točka, kompleksna ekstremna točka, stroga konveksnost, gladkost, šibka diferenciabilnost norme, analitične funkcije, mathematics, functional analysis, extreme point, complex extreme point, rotundity, smoothness, weak differentiability of norm, analytic functions |
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| Year of publishing: | 1990 |
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| Number of pages: | str. 69-82 |
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| Numbering: | Vol. 25, no. 1 |
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| PID: | 20.500.12556/DKUM-51427  |
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| UDC: | 517.982 |
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| ISSN on article: | 0017-095X |
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| COBISS.SI-ID: | 2657284 |
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| NUK URN: | URN:SI:UM:DK:8RFOCSIX |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1761 |
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| Downloads: | 41 |
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| Metadata: |    |
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| Categories: | Misc.
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