A spectral quasinilpotent operator and the invariant subspace problem for non-Archimedean Banach spaces

DOI10.1007/s43034-023-00277-xOpenAlexW4372268994MaRDI QIDQ6040505

Azzedine El Asri, Mohammed Babahmed

Publication date: 17 May 2023

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-023-00277-x

zbMATH Keywords

invariant subspacenon-Archimedean Banach spacespectral quasinilpotent operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

• Un opérateur sans sous-espace invariant: Simplification de l'exemple de P. Enflo
• On the invariant subspace problem for Banach spaces
• Invariant subspaces of completely continuous operators
• The Invariant Subspace Problem for Non-Archimedean Banach Spaces
• A Solution to the Invariant Subspace Problem on the Space l ₁
• Quasinilpotent Operators and the Invariant Subspace Problem
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