Spectrum and local spectrum preservers of skew Lie products of matrices (Q3295980)

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English	Spectrum and local spectrum preservers of skew Lie products of matrices	scientific article

Statements

scholarly article

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Spectrum and local spectrum preservers of skew Lie products of matrices (English)

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Abdellatif Bourhim

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Mohamed Mabrouk

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Complex Analysis and Spectral Theory

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publication date

3 July 2020

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zbMATH Keywords

nonlinear preservers

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spectrum

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local spectrum

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/conm/743/14963

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Maps preserving the local spectrum of quadratic products of matrices

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Lie product and local spectrum preservers

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Maps preserving the local spectrum of some matrix products

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Maps preserving the local spectrum of the skew Jordan product of operators

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Maps preserving the local spectrum of skew-product of operators

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Maps preserving products \(XY - YX^*\) on von Neumann algebras

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Non-Linear Spectrum-Preserving Maps

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Multiplicatively local spectrum-preserving maps

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Maps between Banach algebras preserving the spectrum

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Jordan product and local spectrum preservers

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Maps preserving the local spectrum of Jordan product of matrices

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MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS

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Maps preserving the local spectrum of triple product of operators

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A survey on preservers of spectra and local spectra

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Nonlinear maps preserving the minimum and surjectivity moduli

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Local spectral radius preservers

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Surjective linear maps preserving local spectra

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Linear maps on M<sub>n</sub>(C) preserving the local spectral radius

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Additive maps preserving local spectrum

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On the local spectral properties of weighted shift operators

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Local spectrum and local spectral radius of an operator at a fixed vector

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Mappings preserving spectra of products of matrices

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On maps preserving zeros of the polynomial \(xy - yx^\ast\)

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Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators

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Linear Surjective Maps Preserving at Least One Element from the Local Spectrum

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Automatic continuity for linear surjective maps compressing the local spectrum at fixed vectors

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On nonlinear maps preserving the reduced minimum modulus on differences of matrices

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Continuous maps preserving local spectra of matrices

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Holomorphic maps preserving parts of the local spectrum

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Surjective maps on matrices preserving the local spectral radius distance

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Local spectrum linear preservers at non-fixed vectors

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Linear maps preserving operators of local spectral radius zero

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Maps on matrices that preserve the spectrum

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Nonlinear mappings preserving at least one eigenvalue

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Automatic continuity for linear surjective mappings decreasing the local spectral radius at some fixed vector

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On local irreducibility of the spectrum

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Linear maps preserving elements annihilated by the polynomial XY-YX<sup>†</sup>

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Maps preserving product \(XY -YX^*\) on factor von Neumann algebras

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Maps leaving functional values of operator products invariant

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Some unitary similarity invariant sets preservers of skew Lie products

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Maps preserving strong skew Lie product on factor von Neumann algebras

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Variation of local spectrum

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General Preservers of Quasi-Commutativity

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Additive maps preserving operators of inner local spectral radius zero

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Inner local spectral radius preservers

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On maps preserving operators of local spectral radius zero

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Preserving zeros of Lie product on alternate matrices

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Prime rings with involution equipped with some new product

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A characterization of maximal ideals

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

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Preserving Zeros of a Polynomial

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Maps preserving numerical ranges of operator products

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Jordan isomorphisms and maps preserving spectra of certain operator products

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Maps preserving the spectrum of generalized Jordan product of operators

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Nonlinear maps preserving the inner local spectral radius

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A characterization of maximal ideals in commutative Banach algebras

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A characterization of multiplicative linear functionals in Banach algebras

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Maps preserving the nilpotency of products of operators

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Nonlinear $\star$-Lie-type derivations on von Neumann algebras

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Linear Transformations on Algebras of Matrices

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Nonlinear maps preserving the reduced minimum modulus of operators

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Some characterizations of the automorphisms of $B(H)$ and $C(X)$

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Selected preserver problems on algebraic structures of linear operators and on function spaces

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Jordan *-derivation pairs on a complex *-algebra

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A condition for a subspace of \({\mathcal B} (H)\) to be an ideal

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Order and Spectrum Preserving Maps on Positive Operators

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Maps on matrix and operator algebras

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Maps on matrix spaces

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Jordan ∗-Derivations of Standard Operator Algebras

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A note on strong (skew) η-Lie products preserving maps on some algebras

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On operators with the same local spectra

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/CONM/743/14963

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Sitelinks

Mathematics(1 entry)

mardi Publication:3295980

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