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Zero product preserving maps on $C^1[0,1]$Alaminos, J. ...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.Source: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 347, no. 2, 2008, str. 472-481)Type of material - article, component partPublish date - 2008Language - englishCOBISS.SI-ID - 14892377
Author
Alaminos, J. |
Brešar, Matej |
Černe, Miran |
Extremera, J. |
Villena, A. R.
Topics
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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Database name | Field | Year |
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Alaminos, J. | ![]() |
Brešar, Matej | 08721 |
Černe, Miran | 08722 |
Extremera, J. | ![]() |
Villena, A. R. | ![]() |
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