Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices (Q5190344)

scientific article; zbMATH DE number 5682732

Language	Label	Description	Also known as
English	Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices	scientific article; zbMATH DE number 5682732

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instance of

scholarly article

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title

Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices (English)

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Linear and Multilinear Algebra

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publication date

17 March 2010

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zbMATH Keywords

square-zero matrices

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linear maps preserving square-zero matrices

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$F$-algebra

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/03081080802531770

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cites work

Linear operators preserving idempotent matrices over fields

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Additive rank-one preserving mappings on triangular matrix algebras

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Commutativity preserving linear maps on central simple algebras.

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On bilinear maps on matrices with applications to commutativity preservers.

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Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring

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Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings

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Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space

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Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring

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A note on algebra automorphisms of strictly upper triangular matrices over commutative rings

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Additive operators preserving idempotent matrices over fields and applications

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Additive rank-one preserving surjections on symmetric matrix spaces

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On maps preserving square-zero matrices.

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Additive rank-one preservers on block triangular matrix spaces

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Rank-1 nilpotency linear preservers on nest algebras.

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Additive maps on standard operator algebras preserving parts of the spectrum.

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Automorphisms of the Lie algebra of upper triangular matrices over a connected commutative ring

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Maps on matrix algebras preserving idempotents

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Determinant preserving maps on matrix algebras

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Zero-preserving iso-spectral flows based on parallel sums

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Nonlinear maps preserving similarity on $\mathcal B(H)$

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Maps preserving the idempotency of products of operators

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Linear maps on $M_{n}(\mathbb C)$ preserving the local spectrum

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Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative

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Trace-preserving homomorphisms of semigroups.

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Multiplicative maps on matrices that preserve the spectrum

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Ring isomorphisms and linear or additive maps preserving zero products on nest algebras

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Jordan isomorphisms and additive rank preserving maps on symmetric matrices over PID

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Linear Preserver Problems

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Maps preserving the nilpotency of products of operators

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Linear preserver problems: A brief introduction and some special techniques

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Additive mappings between Hermitian matrix spaces preserving rank not exceeding one

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Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras

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Linear Operations on Matrices

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Lipschitz spectrum preserving mappings on algebras of matrices

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Preserving commutativity

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Additive mappings preserving operators of rank one

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Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring

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Mappings preserving spectrum and commutativity on Hermitian matrices

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Spectrum and commutativity preserving mappings on triangular matrices

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Linear mappings preserving square-zero matrices

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Local automorphisms and derivations on $\mathcal {B}(H)$

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Commutativity preserving maps

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Linear operators preserving adjoint matrix between matrix spaces

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Rank one preserving $\mathbb R$-linear maps on spaces of self-adjoint operators on complex Hilbert spaces

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Idempotence-preserving maps without the linearity and surjectivity assumptions

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Linear maps preserving zero products on nest subalgebras of von Neumann algebras

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Jordan zero-product preserving additive maps on operator algebras

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Identifiers

zbMATH Open document ID

1196.15028

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DOI

10.1080/03081080802531770

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5190344