Linear maps preserving rank of tensor products of matrices

2014/02/11 by Baodong Zheng, Jinli Xu, Ajda Fošner · 11 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Combinatorics #Complex matrix #Eigenvalues and eigenvectors #Geometry #Jordan algebra #Linear algebra #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Matrix analysis #Multilinear algebra #Pure mathematics #Rank (graph theory) #Tensor (intrinsic definition) #Tensor product

paper · doi:10.1080/03081087.2013.869589

published in Linear and Multilinear Algebra 63(2), 366-376 (Taylor & Francis)

openalex publication_date 2014/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Let be the algebra of all complex matrices. We characterize linear maps satisfyingfor all , .

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• Decomposability preserving linear maps between symmetric spaces

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