Induced maps on matrices over fields

DOI10.1155/2014/596756zbMath1474.15008OpenAlexW1982542361WikidataQ59039791 ScholiaQ59039791MaRDI QIDQ1724484

Li Yang, Ming Zhang, Xuezhi Ben, Chong Guang Cao

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/596756

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Linear transformations between multipartite quantum systems that map the set of tensor product of idempotent matrices into idempotent matrix set
• Characterizations of nonlinear Lie derivations of \(B(X)\)
• Zero triple product determined matrix algebras.
• Nonlinear maps preserving similarity on \(\mathcal B(H)\)
• On the generalized vector variational inequality problem
• Linear maps on upper triangular matrices spaces preserving idempotent tensor products
• Automatic continuity of orthogonality preservers on a non-commutative \(L^p(\tau)\) space
• A note on \(k\)-potence preservers on matrix spaces over complex field
• The automorphism group of the Lie ring of real skew-symmetric matrices
• Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero
• Linear maps preserving rank of tensor products of matrices
• Mappings preserving zero products
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