Local spectral subspace preservers

DOI10.1007/s12215-018-0359-5OpenAlexW2883647406MaRDI QIDQ2311403

Imane Herrou, Hassane Benbouziane, Mustapha Ech-Cherif El Kettani

Publication date: 10 July 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0359-5

zbMATH Keywords

rank-one operatorlocal spectral subspacenonlinear preservers problem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on Banach algebras (47B48) Local spectral properties of linear operators (47A11)

Related Items

A note on local spectral subspace preservers, Maps preserving the local spectral subspace of product or Jordan triple product of operators, Maps that preserve the local spectral subspace of generalized product of operators

Cites Work

• Unnamed Item
• Unnamed Item
• Maps preserving the nilpotency of products of operators
• General preservers of invariant subspace lattices
• Maps preserving the idempotency of products of operators
• Local spectral radius preservers
• Maps on matrices compressing the local spectrum in the spectrum
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• A survey on preservers of spectra and local spectra
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• Adjacency preserving maps on matrices and operators
• Preservers of local spectra of operator products
• Nonlinear maps preserving the local spectral subspace
• Nonlinear commutant preservers