More on representation of operators on \(L_{1}\)

DOI10.1016/J.JMAA.2018.05.083zbMath1408.46022OpenAlexW2805943393MaRDI QIDQ1630591

Mikhail M. Popov, Olexandr V. Maslyuchenko

Publication date: 10 December 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.05.083

zbMATH Keywords

narrow operatorBanach space \(L_1\)pseudo-embedding

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Linear operators on ordered spaces (47B60) Isometric theory of Banach spaces (46B04) Ordered normed spaces (46B40)

Related Items (1)

Representation theorems for regular operators

Cites Work

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• Pointwise absolutely convergent series of operators and related classes of Banach spaces
• Narrow operators on function spaces and vector lattices
• A lattice approach to narrow operators
• An exact Daugavet type inequality for small into isomorphisms in \(L_{1}\)
• Embeddings of 𝐿¹ in 𝐿¹
• Operators between subspaces and quotients of L^1
• Theorems on decomposition of operators in L 1 and their generalization to vector lattices

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