| Title: | Zero product preserving maps on C[sup]1 [0,1] |
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| Authors: | ID Alaminos, J. (Author)
ID Brešar, Matej (Author)
ID Černe, Miran (Author)
ID Extremera, J. (Author)
ID Villena, A. R. (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.jmaa.2008.06.037
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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: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | Glavni rezultat članka karakterizira zvezne bilinearne preslikave ▫$phi$▫ iz ▫$C^1[0,1] times C^1[0,1]$▫ v Banachov prostor ▫$X$▫ z lastnostjo, da iz ▫$fg=0$▫ sledi ▫$phi(f,g) = 0$▫. Ta rezultat se uporabi pri študiju ohranjevalcev ničelnega produkta na ▫$C^1[0,1]$▫ in pri študiju operatorjev na ▫$C^1[0,1]$▫, ki zadoščajo neki verzijo pogoja o lokalnosti operatorja. |
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| Keywords: | matematika, teorija operatorjev, zvezne odvedljive funkcije, bilinearni ohranjevalci ničelnega produkta, linearni ohranjevalci ničelnega produkta, lokalni operator, mathematics, operator theory, continuously differentiable functions, zero product preserving bilinear map, zero product preserving linear map, local operator |
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| Year of publishing: | 2008 |
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| Number of pages: | str. 472-481 |
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| Numbering: | Vol. 347, no. 2 |
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| PID: | 20.500.12556/DKUM-51750  |
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| UDC: | 517.983 |
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| ISSN on article: | 0022-247X |
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| COBISS.SI-ID: | 14892377 |
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| DOI: | 10.1016/j.jmaa.2008.06.037 |
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| NUK URN: | URN:SI:UM:DK:MM4HFZJF |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1192 |
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| Downloads: | 48 |
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| Metadata: |    |
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| Categories: | Misc.
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