On the Brezis–Lieb Lemma and Its Extensions

DOI10.1007/978-3-030-49763-7_3zbMath1489.46026OpenAlexW3118310504MaRDI QIDQ5013593

M. A. A. Marabeh, Eduard Yu. Emel'yanov

Publication date: 2 December 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_3

zbMATH Keywords

Banach latticeBrezis-Lieb lemma\textit{uo}-convergenceBrezis-Lieb spacepre-Brezis-Lieb property\textit{a.e.}-convergence

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) Banach lattices (46B42)

Related Items (1)

\(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces

Cites Work

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• \(um\)-topology in multi-normed vector lattices
• Internal characterization of Brezis-Lieb spaces
• Unbounded order convergence and application to martingales without probability
• Uo-convergence and its applications to Cesàro means in Banach lattices
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• The Brezis-Lieb lemma in convergence vector lattices
• Неограниченные сходимости в конвергентных векторных решетках

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