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232. Forstall, Virginia; Herman, Aaron; Li, Chi-Kwong; Sze, Nung-Sing; Yannello, Vincent: Preservers of eigenvalue inclusion sets of matrix products. (English). - [J] Linear Algebra Appl. 434, No. 1, 285-293 (2011). ISSN 0024-3795Bojan Kuzma, 2011, review, book review, critique Published in RUP: 15.10.2013; Views: 1901; Downloads: 32 Link to full text |
233. Zhang, Xian: Inverse-preserving linear maps between spaces of matrices over fields. (English). - [J] Acta Math. Sin., Engl. Ser. 22, No. 3, 873-878 (2006). [ISSN 1439-8516; ISSN 1439-7617]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, linearne transformacije, linearni ohranjevalci, prostori matrik Published in RUP: 15.10.2013; Views: 2843; Downloads: 27 Link to full text |
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238. You, Hong; Liu, Shaowu: Linear operators preserving symplectic group over a field consisting of at least four elements. (English). - [J] Northeast. Math. J. 22, No. 2, 219-232 (2006). [ISSN 1000-1778]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, linearne transformacije, linearni ohranjevalci Published in RUP: 15.10.2013; Views: 2580; Downloads: 32 Link to full text |
239. Zhao, L.; Hou, J.: Jordan zero-product preserving additive maps on operator algebras. (English). - [J] J. Math. Anal. Appl. 314, No. 2, 689-700 (2006). [ISSN 0022-247X]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, teorija operatorjev, operatorske algebre, jordanski ničelni produkti, jordanski homomorfizmi Published in RUP: 15.10.2013; Views: 3798; Downloads: 35 Link to full text |
240. Norm preservers of Jordan productsBojan Kuzma, Gorazd Lešnjak, Chi-Kwong Li, Tatjana Petek, Leiba Rodman, 2011, original scientific article Abstract: V članku klasificiramo surjektivne preslikave, ki na algebri kompleksnih matrik ohranjajo Frobeniusovo normo Jordanskega produkta. Izkaže se, da so do unitarne podobnosti in množenja s skalarnim večkratnikom vse tovrstne preslikave le štirih možnih tipov: (i) preslikava, ki je lokalno adjungiranje na normalnih matrikah in identiteta izven normalnih matrik, (ii) transponiranje, (iii) kompleksna konjugacija in (iv) adjungiranje. Do podobnih zaključkov pridemo tudi v primeru nekaterih drugih unitarno invariantnih norm, kjer pokažemo, da preslikava bodisi normalne matrike množi s skalarji, bodisi jih adjungira in množi s skalarji. Keywords: matematika, linearna algebra, jordanski produkt, matrična norma, ohranjevalci Published in RUP: 15.10.2013; Views: 3153; Downloads: 227 Link to full text |