Narrow and \(\ell_2\)-strictly singular operators from \(L_p\)

DOI10.1007/S11856-014-0012-8zbMath1314.46024arXiv1211.4854OpenAlexW2044350593MaRDI QIDQ476492

J. Herrera, Sumit K. Garg

Publication date: 2 December 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4854

zbMATH Keywords

narrow operatorsign-embedding

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38)

Related Items (7)

Lyapunov theorem for q-concave Banach spaces ⋮ On narrow operators from \(L_p\) into operator ideals ⋮ (Strongly-)Dunford-Pettis operators and narrow operators ⋮ On sign embeddings and narrow operators on 𝐿₂ ⋮ Lateral order on complex vector lattices and narrow operators ⋮ Narrow Operators on Lattice-normed Spaces and Vector Measures ⋮ ℓ₂-strictly singular operators on the predual of a hyperfinite von Neumann algebra

Cites Work

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• Commutators on 𝐿_{𝑝}, 1≤𝑝<∞
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