Hou, J. C.: Rank preserving linear maps on (X). Sci. in China, Ser A, 32, 929-940 (1989)Hou, J. C.: Rank preserving linear maps on ℬ( X ). Sci. in China , Ser A, 32 , 929–940 (1989)Rank-preserving linear maps on B( X). Hou Jin-chua. Sci. in China ( ser. ...
Let ϕ be a bijective linear map on the algebra of n×n complex matrices such that ϕ(e12)=e12 and [ϕ(A),ϕ(B)]=e12 whenever [A,B]=e12. The purpose of this paper is to describe ϕ. Surprisingly, ϕ has a different description from maps preserving zero Lie products.Previ...
Based on these observations, we propose to jointly learn a deep AE framework and a clean low-rank dictionary to actively mitigate the noises or corruptions within the data (Fig. 2). 3.2 Locality Preserving Low-Rank Dictionary Learning Suppose training data X ∈ Rd×n has n samples and xi ...
Rank-preserving linear maps on B(X - Hou - 1989 () Citation Context ... From the conditions of the lemma it follows that φ sends rank-2 projections to rank-2 projections. Therefore, the range of Φ contains an operator with rank greater than 1. We now refer to Hou’s work =-=[...
Hou J.Rank-preserving linear maps on B(X). Science in China . 1989Hou Jinchuan, Rank-preserving linear maps on B(X), Science in China, 32A(1989), 929-940.Hou, J. C.: Rank preserving linear maps on B(X). Sci. China (Ser A), 32, 929-940 (1989)J. Hou, Rank preserving ...
Let X ( H ) be a Banach space (Hilbert space) and let B (X) ( B (H) ) be the algebra of all bounded linear operators on X ( H ). In this paper, we get some characterizations of rank-preserving multiplicative maps on B (X) . As applications, we show that every multiplicative...
Cui, Rank-1 preserving linear maps on nest algebras, Linear Algebra Appl. 369 (2003) 263-277.Jinchuan Hou and Jianlian Cui ".Rank-1 preserving linear maps on nest algebras. Linear Algebra and Its Applications . 2003Rank-1 preserving linear maps on nest algebras[J] . Jinchuan Hou,Jianlian ...
Linear Algebra and its ApplicationsYou H,Liu SW,Zhang GD. Rank one preserving R-linear maps on spaces of self-adjoint operators on comlex Hilbert spaces[J].Linear Algebra and its Applications 2006,2/3(2/3).You Hong, Liu Shaowu, Zhang Guodong. Rank one preserving R-linear maps on spaces...
linear preserverLet be the algebra of all complex matrices. We chaZhengHarbinBaodongHarbinFosnerHarbinAjdaHarbinJinliHarbinLinear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and ProblemsZHENG B, XU J, FOSNER A. “Linear Maps Preserving Rank ofTensor Products of ...
Linear and Multilinear Alge-bra,2014.B. Zheng, J. Xu, and A. Foˇsner, Linear maps preserving rank of tensor products of matrices, Linear and Multilinear Algebra, 63:366-376 (2015).B. Zheng, J. Xu, and A. Foˇsner, "Linear maps preserving rank of tensor products of matrices," ...