Maps preserving local spectral subspaces of generalised product of operators

DOI10.1007/s12215-019-00453-wOpenAlexW2974211162MaRDI QIDQ2657358

Hassane Benbouziane, Y. Bouramdane, M. Ech-Chérif El Kettani

Publication date: 12 March 2021

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/s12215-019-00453-w

zbMATH Keywords

local spectral subspacenonlinear preservers problemgeneralised product

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 (5)

A note on local spectral subspace preservers ⋮ On the some spectral domains in the spectrum preserves ⋮ Maps preserving the local spectral subspace of product or Jordan triple product of operators ⋮ Nonlinear fixed points preservers ⋮ Maps that preserve the local spectral subspace of generalized product of operators

Cites Work

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• Additive maps preserving operators of inner local spectral radius zero
• Maps preserving the spectrum of generalized Jordan product of operators
• Local spectral radius preservers
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• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Additive maps preserving local spectrum
• Maps preserving peripheral spectrum of generalized products of operators
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• A survey on preservers of spectra and local spectra
• Nonlinear maps preserving the local spectral subspace
• Nonlinear commutant preservers
• Jordan isomorphisms and maps preserving spectra of certain operator products

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