71. 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, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, prostor matrik, rank 1, aditivni ohranjevalec
Objavljeno v RUP: 15.10.2013; Ogledov: 3517; Prenosov: 45
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72. |
73. 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, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, aditivna preslikava, ohranjevalec obrnljivosti, ohranjevalec singularnosti, matrična algebra
Objavljeno v RUP: 15.10.2013; Ogledov: 3654; Prenosov: 40
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74. Rank-permutable additive mappingsAnna A. Alieva, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2006, izvirni znanstveni članek Opis: 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.
Ključne besede: mathematics, linearna algebra, matrix algebra, rank, permutation, additive preservers
Objavljeno v RUP: 15.10.2013; Ogledov: 3460; Prenosov: 89
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75. 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, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, linearni ohranjevalci, funkcijske identitete, matrična algebra
Objavljeno v RUP: 15.10.2013; Ogledov: 3618; Prenosov: 26
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76. The Hyers-Ulam-Rassias stability of (m,n)[sub]{([sigma], [tau])}-derivations on normed algebrasAjda Fošner, 2012, izvirni znanstveni članek Opis: We study the Hyers-Ulam-Rassias stability of ▫$(m,n)_{(\sigma,\tau)}$▫-derivations on normed algebras.
Ključne besede: Hyers-Ulam-Rassias stability, normed algebra, ▫$(m,n)_{(\sigma,\tau)}$▫-derivation
Objavljeno v RUP: 15.10.2013; Ogledov: 3075; Prenosov: 35
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77. |
78. 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, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, rang, linearni ohranjevalec, simetrične matrike
Objavljeno v RUP: 15.10.2013; Ogledov: 3654; Prenosov: 33
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79. 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, recenzija, prikaz knjige, kritika Ključne besede: matematika, linearna algebra, ohranjevalci podobnosti, zgornje trikotne matrike
Objavljeno v RUP: 15.10.2013; Ogledov: 3404; Prenosov: 39
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80. The Terwilliger algebra of a distance-regular graph of negative typeŠtefko Miklavič, 2009, izvirni znanstveni članek Opis: Let ▫$\Gamma$▫ denote a distance-regular graph with diameter ▫$D \ge 3$▫. Assume ▫$\Gamma$▫ has classical parameters ▫$(D,b,\alpha,\beta)▫$ with ▫$b < -1$▫. Let ▫$X$▫ denote the vertex set of ▫$\Gamma$▫ and let ▫$A \in {\mathrm{Mat}}_X(\mathbb{C})$▫ denote the adjacency matrix of ▫$\Gamma$▫. Fix ▫$x \in X$▫ and let $A^\ast \in {\mathrm{Mat}}_X(\mathbb{C})$ denote the corresponding dual adjacency matrix. Let ▫$T$▫ denote the subalgebra of ${\mathrm{Mat}}_X(\mathbb{C})$ generated by ▫$A,A^\ast$▫. We call ▫$T$▫ the Terwilliger algebra of ▫$\Gamma$▫ with respect to ▫$x$▫. We show that up to isomorphism there exist exactly two irreducible ▫$T$▫-modules with endpoint 1; their dimensions are ▫$D$▫ and ▫$2D-2$▫. For these ▫$T$▫-modules we display a basis consisting of eigenvectors for ▫$A^\ast$▫, and for each basis we give the action of ▫$A$▫.
Ključne besede: distance-regular graph, negative type, Terwilliger algebra
Objavljeno v RUP: 15.10.2013; Ogledov: 3393; Prenosov: 109
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