Classifying the closed ideals of bounded operators on two families of\n non-separable classical Banach spaces

2020/08/27 by Max Arnott, Arnott, Max, Niels Jakob Laustsen +1
Mathematics · #46B25 #46B26 #46B45 #46H10 (Primary) #47L10 #47L20 (Secondary) #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2008.12211

openalex publication_date 2020/08/27 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We classify the closed ideals of bounded operators acting on the Banach\nspaces \( bigoplus_{n \∈ \ℕ} \ℓ₂ⁿ\)_c0 \⊕\nc₀(\Γ) and \( bigoplus_{n \∈ \ℕ} \ℓ₂ⁿ\)_\ℓ1\n\⊕ \ℓ₁(\Γ) for every uncountable cardinal \Γ.\n

Related

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• Closed ideals of operators on the Baernstein and Schreier spaces
• Small operator ideals on the Schlumprecht and Schreier spaces
• Ideal structure of the algebra of bounded operators acting on a Banach\n space
• Kernels of Bounded Operators on the Classical Transfinite Banach Sequence Spaces