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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: 1285; Downloads: 15
URL Full text (0,00 KB)

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: 1685; Downloads: 14
URL Full text (0,00 KB)

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: 1740; Downloads: 9
URL Full text (0,00 KB)

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: 1111; Downloads: 9
URL Full text (0,00 KB)

5.
Rank-permutable additive mappings
Anna A. Alieva, Aleksandr Èmilevič Guterman, 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: 1329; Downloads: 43
URL Full text (0,00 KB)

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: 1200; Downloads: 18
URL Full text (0,00 KB)

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: 1357; Downloads: 17
URL Full text (0,00 KB)

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: 905; Downloads: 13
URL Full text (0,00 KB)

9.
Norm preservers of Jordan products
Bojan 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.
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: 1436; Downloads: 86
URL Full text (0,00 KB)
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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: 1095; Downloads: 8
URL Full text (0,00 KB)

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