The Brezis-Lieb lemma in convergence vector lattices

DOI10.3906/MAT-1708-7zbMath1424.46007OpenAlexW2800191790WikidataQ124879689 ScholiaQ124879689MaRDI QIDQ4634257

Mohammad Marabeh

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1708-7

zbMATH Keywords

convergence vector spacevector latticeBrezis-Lieb lemmaunbounded order convergenceconvergence vector latticealmost order bounded set

Mathematics Subject Classification ID

Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40)

Related Items (4)

Internal characterization of Brezis-Lieb spaces ⋮ Unbounded \(p\)-convergence in lattice-normed vector lattices ⋮ Неограниченные сходимости в конвергентных векторных решетках ⋮ On the Brezis–Lieb Lemma and Its Extensions

Cites Work

• The order convergence structure
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Unbounded order convergence and application to martingales without probability
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Order convergence structure onC(X)
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