On the Brezis-Lieb lemma without pointwise convergence

DOI10.1007/s00030-015-0333-2zbMath1336.46026arXiv1408.4654OpenAlexW1505392167MaRDI QIDQ745920

Kyril Tintarev, Adimurthi

Publication date: 15 October 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4654

zbMATH Keywords

weak convergence\(L^p\)-spacesBrezis-Lieb lemma

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (2)

Existence of solutions of a non-linear eigenvalue problem with a variable weight ⋮ Concentration analysis in Banach spaces

Cites Work

• Concentration analysis in Banach spaces
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the behavior of weak convergence under nonlinearities and applications
• Weak convergence under nonlinearities
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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