11. Chebotar, Mikhail A.; Fong, Yuen; Lee, Pjek-Hwee: On maps preserving zeros of the polynomial $xy - yx^ast$. (English). - [J] Linear Algebra Appl. 408, 230-243(2005). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Found in: osebi
Keywords: matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebra
Published: 15.10.2013; Views: 2425; Downloads: 24
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12. Tang, Xiao-Min; Xu, Jin-Li; Cao, Chong-Guang: A note on idempotence-preserving maps. (English). - [J] Linear Multilinear Algebra 56, No. 4, 399-414 (2008). ISSN 0308-1087; ISSN 1563-5139Bojan Kuzma, 2009, review, book review, critique Found in: osebi
Published: 15.10.2013; Views: 1909; Downloads: 31
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13. Song, Seok-Zun; Kang, Kyung-Tae; Shin, Hang Kyun: Linear operators that preserve perimeters of Boolean matrices. (English). - [J] Bull. Korean Math. Soc. 45, No. 2, 355-363 (2008). ISSN 1015-8634Bojan Kuzma, 2009, review, book review, critique Found in: osebi
Published: 15.10.2013; Views: 1771; Downloads: 31
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15. Fosner, Ajda; Šemrl, Peter: Additive maps on matrix algebras preserving invertibility. (English). - [J] Acta Math. Sin., Engl. Ser. 21, No. 4, 681-684 (2005). [ISSN 1439-8516; ISSN 1439-7617]Bojan Kuzma, 2006, review, book review, critique Found in: osebi
Keywords: matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, matrična algebra
Published: 15.10.2013; Views: 2425; Downloads: 37
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16. Zhang, Xian; Sze, Nung-Sing: Additive rank-one preservers between spaces of rectangular matrices. (English). - [J] Linear Multilinear Algebra 53, No. 6, 417-425 (2005). [ISSN 0308-1087; ISSN 1563-5139]Bojan Kuzma, 2006, review, book review, critique Found in: osebi
Keywords: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec
Published: 15.10.2013; Views: 2740; Downloads: 39
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17. 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 Found in: osebi
Keywords: matematika, linearna algebra, linearne transformacije, linearni ohranjevalci
Published: 15.10.2013; Views: 1999; Downloads: 30
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18. 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 Found in: osebi
Keywords: matematika, teorija operatorjev, operatorske algebre, jordanski ničelni produkti, jordanski homomorfizmi
Published: 15.10.2013; Views: 2830; Downloads: 30
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19. Norm preservers of Jordan productsChi-Kwong Li, Gorazd Lešnjak, Bojan Kuzma, 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.
Found in: osebi
Keywords: matematika, linearna algebra, jordanski produkt, matrična norma, ohranjevalci
Published: 15.10.2013; Views: 2572; Downloads: 211
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