Multiplicatively local spectrum-preserving maps
From MaRDI portal
Publication:1747125
DOI10.1016/j.laa.2018.03.042OpenAlexW2792530919MaRDI QIDQ1747125
Abdellatif Bourhim, Ji Eun Lee
Publication date: 3 May 2018
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.042
Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)
Related Items
Maps preserving trace of products of matrices, Spectrum and local spectrum preservers of skew Lie products of matrices, Recent progress on local spectrum-preserving maps, Unnamed Item, Multiplicatively spectrum preserving maps on rectangular matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear maps preserving operators of local spectral radius zero
- Maps preserving the local spectrum of Jordan product of matrices
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Weakly peripherally multiplicative surjections of pointed Lipschitz algebras
- Transformations of the unitary group on a Hilbert space
- Maps preserving the local spectrum of skew-product of operators
- Maps preserving the spectrum of generalized Jordan product of operators
- Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
- Maps preserving the nilpotency of products of operators
- Multiplicatively range-preserving maps between Banach function algebras
- A generalization of peripherally-multiplicative surjections between standard operator algebras
- Local spectral radius preservers
- Additive maps preserving local spectrum
- Maps between Banach algebras preserving the spectrum
- A characterization of maximal ideals
- Some characterizations of the automorphisms of $B(H)$ and $C(X)$
- A survey on preservers of spectra and local spectra
- Surjective maps on matrices preserving the local spectral radius distance
- MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
- Maps preserving the local spectrum of some matrix products
- Jordan product and local spectrum preservers
- Maps preserving numerical ranges of operator products
- Mappings preserving spectra of products of matrices
- Linear maps on Mn(C) preserving the local spectral radius
- A characterization of multiplicative linear functionals in Banach algebras
- Non-Linear Spectrum-Preserving Maps
- Maps preserving the local spectrum of triple product of operators
- 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
- Jordan isomorphisms and maps preserving spectra of certain operator products
- Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
- A characterization of maximal ideals in commutative Banach algebras
