1. Ji, Guoxing; Wu, Baowei: Similarity preserving linear maps on upper triangular matrix algebras. (English). - [J] Linear Algebra Appl. 414, No. 1, 278-287 (2006). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Found in: ključnih besedah Summary of found: ...matematika, linearna algebra, ohranjevalci podobnosti, zgornje trikotne matrike, ... Keywords: matematika, linearna algebra, ohranjevalci podobnosti, zgornje trikotne matrike Published: 15.10.2013; Views: 2665; Downloads: 36
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2. Zhang, Xian: Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices. (English). - [J] Linear Multilinear Algebra 53, No. 3, 153-165 (2005). [ISSN 0308-1087; ISSN 1563-5139]Bojan Kuzma, 2006, review, book review, critique Found in: ključnih besedah Summary of found: ...matematika, linearna algebra, rang, linearni ohranjevalec, simetrične matrike, ... Keywords: matematika, linearna algebra, rang, linearni ohranjevalec, simetrične matrike Published: 15.10.2013; Views: 2952; Downloads: 31
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3. Hartwig, Brian: Three mutually adjacent Leonard pairs. (English). - [J] Linear Algebra Appl. 408, 19-39 (2005). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Found in: ključnih besedah Summary of found: ...matematika, linearna algebra, linearne transformacije, Leonardov par, ... Keywords: matematika, linearna algebra, linearne transformacije, Leonardov par Published: 15.10.2013; Views: 3057; Downloads: 32
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4. 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: ključnih besedah Summary of found: ...matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebra,... Keywords: matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebra Published: 15.10.2013; Views: 2426; Downloads: 24
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5. Rank-permutable additive mappingsAleksandr Èmilevič Guterman, Anna A. Alieva, Bojan Kuzma, 2006, original scientific article Abstract: Let ▫$\sigma$▫ be a fixed non-identical permutation on ▫$k$▫ elements. Additive bijections ▫$T$▫ on the matrix algebra ▫$M_n(\mathbb{F})$▫ over a field ▫$\mathbb{F}$▫ of characteristic zero, with the property that ▫$\rm{rk} (A_1...A_k) = \rm{rk} (A_{\sigma(1)}...A_{\sigma(k)})$▫ implies the same condition on the ▫$T$▫ images, are characterized. It is also shown that the surjectivity assumption can be relaxed, if this property is preserved in both directions. Found in: ključnih besedah Summary of found: ...mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers... Keywords: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers Published: 15.10.2013; Views: 2631; Downloads: 85
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6. 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: ključnih besedah Summary of found: ...matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularn... Keywords: matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, matrična algebra Published: 15.10.2013; Views: 2425; Downloads: 37
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7. 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: ključnih besedah Summary of found: ...matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec,... Keywords: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec Published: 15.10.2013; Views: 2740; Downloads: 39
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8. 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: ključnih besedah Summary of found: ...matematika, linearna algebra, linearne transformacije, linearni ohranjevalci, ... Keywords: matematika, linearna algebra, linearne transformacije, linearni ohranjevalci Published: 15.10.2013; Views: 1999; Downloads: 30
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9. 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: ključnih besedah Summary of found: ...matematika, linearna algebra, jordanski produkt, matrična norma, ohranjevalci, ... Keywords: matematika, linearna algebra, jordanski produkt, matrična norma, ohranjevalci Published: 15.10.2013; Views: 2572; Downloads: 211
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10. 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 Found in: ključnih besedah Summary of found: ...matematika, linearna algebra, linearne transformacije, linearni ohranjevalci, prostori matrik,... Keywords: matematika, linearna algebra, linearne transformacije, linearni ohranjevalci, prostori matrik Published: 15.10.2013; Views: 2236; Downloads: 23
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