| Title: | Characterizing Jordan maps on C [ast]-algebras through zero products |
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| Authors: | ID Alaminos, J. (Author)
ID Brešar, Matej (Author)
ID Extremera, J. (Author)
ID Villena, A. R. (Author) |
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| Files: |  http://dx.doi.org/10.1017/S0013091509000534
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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: | Naj bosta ▫$A$▫ in ▫$B$▫ ▫$C^ast$▫-algebri, ▫$X$▫ naj bo bistveni Banachov ▫$A$▫-bimodul in naj bosta ▫$T colon A to B$▫ in ▫$S colon A to X$▫ zvezni linearni preslikavi; ▫$T$▫ naj bo surjektivna. Denimo, da je ▫$T(a)T(b) + T(b)T(a) = 0$▫ in ▫$S(a)b + bS(a) + aS(b) + S(b)a = 0$▫, kadarkoli ▫$a, b in A$▫ zadoščata ▫$ab = ba = 0$▫. Dokažemo, da je ▫$T = wPhi$▫ in ▫$S = D + wPsi$▫, kjer ▫$w$▫ leži v centru multiplikatorske algebre ▫$B$▫, ▫$Phicolon A to B$▫ je jordanski epimorfizem, ▫$D colon A to X$▫ je odvajanje in ▫$Psi colon A to X$▫ je bimodulski homomorfizem. |
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| Keywords: | matematika, teorija operatorjev, ▫$C^ast$▫-algebra, homomorfizem, jordanski homomorfizem, odvajanje, jordansko odvajanje, ohranjevalec ničelnega produkta, mathematics, operator theory, ▫$C^ast$▫-algebra, homomorphism, Jordan homomorphism, derivation, Jordan derivation, zero-product-preserving map |
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| Year of publishing: | 2010 |
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| Number of pages: | str. 543-555 |
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| Numbering: | Vol. 53, iss. 3 |
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| PID: | 20.500.12556/DKUM-51871  |
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| UDC: | 517.98 |
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| ISSN on article: | 0013-0915 |
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| COBISS.SI-ID: | 15703129 |
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| NUK URN: | URN:SI:UM:DK:8PIBOJEQ |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1114 |
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| Downloads: | 47 |
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| Metadata: |    |
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| Categories: | Misc.
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