Linear mappings preserving square-zero matrices
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Publication:4283028
DOI10.1017/S0004972700015811zbMath0795.15002OpenAlexW2116606989MaRDI QIDQ4283028
Publication date: 11 September 1994
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972700015811
matrix algebrasBanach spacelinear preserverbounded linear operatorslinear operatorsalgebra automorphism
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
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Cites Work
- On operators preserving commutativity
- Linear maps that preserve matrices annihilated by a polynomial
- Linear transformations that preserve the nilpotent matrices
- Linear preserver problems: A brief introduction and some special techniques
- Linear Transformations on Algebras of Matrices
- Rigid Embedding of Simple Groups in the General Linear Group
