Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices
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Publication:5190344
DOI10.1080/03081080802531770zbMath1196.15028OpenAlexW2007591537MaRDI QIDQ5190344
Xuansheng Wang, Dengyin Wang, Yanxia Zhao
Publication date: 17 March 2010
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080802531770
Related Items (2)
Square-zero determined matrix algebras ⋮ Bijective maps of infinite triangular and unitriangular matrices preserving commutators
Cites Work
- On bilinear maps on matrices with applications to commutativity preservers.
- Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
- Zero-preserving iso-spectral flows based on parallel sums
- Jordan isomorphisms and additive rank preserving maps on symmetric matrices over PID
- Nonlinear maps preserving similarity on \(\mathcal B(H)\)
- Maps preserving the nilpotency of products of operators
- Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring
- Commutativity preserving maps
- Maps preserving the idempotency of products of operators
- Linear preserver problems: A brief introduction and some special techniques
- Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
- Mappings preserving spectrum and commutativity on Hermitian matrices
- Automorphisms of the Lie algebra of upper triangular matrices over a connected commutative ring
- Multiplicative maps on matrices that preserve the spectrum
- Lipschitz spectrum preserving mappings on algebras of matrices
- Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring
- Additive maps on standard operator algebras preserving parts of the spectrum.
- Maps on matrix algebras preserving idempotents
- Linear operators preserving adjoint matrix between matrix spaces
- Similarity invariant real linear subspaces and similarity preserving additive maps.
- Rank-1 nilpotency linear preservers on nest algebras.
- Trace-preserving homomorphisms of semigroups.
- Idempotence-preserving maps without the linearity and surjectivity assumptions
- Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
- A note on algebra automorphisms of strictly upper triangular matrices over commutative rings
- Additive rank-one preserving mappings on triangular matrix algebras
- Determinant preserving maps on matrix algebras
- Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space
- Commutativity preserving linear maps on central simple algebras.
- Spectrum and commutativity preserving mappings on triangular matrices
- Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring
- Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)
- Additive rank-one preserving surjections on symmetric matrix spaces
- Additive mappings preserving operators of rank one
- On maps preserving square-zero matrices.
- Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
- Rank one preserving \(\mathbb R\)-linear maps on spaces of self-adjoint operators on complex Hilbert spaces
- Additive rank-one preservers on block triangular matrix spaces
- Additive operators preserving idempotent matrices over fields and applications
- Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
- Linear maps preserving zero products on nest subalgebras of von Neumann algebras
- Jordan zero-product preserving additive maps on operator algebras
- Linear operators preserving idempotent matrices over fields
- Linear Preserver Problems
- Linear Operations on Matrices
- Linear mappings preserving square-zero matrices
- Local automorphisms and derivations on $\mathcal {B}(H)$
- Preserving commutativity
- Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings
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