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Internal characterization of Brezis-Lieb spaces
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Date
2020-07-01
Author
Emelyanov, E. Y.
Marabeh, M. A. A.
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In order to find an extension of Brezis-Lieb's lemma to the case of nets, we replace the almost everywhere convergence by the unbounded order convergence and introduce the pre-Brezis-Lieb property in normed lattices. Then we identify a wide class of Banach lattices in which the Brezis-Lieb lemma holds true. Among other things, it gives an extension of the Brezis-Lieb lemma for nets in L-p for p is an element of[1,infinity).
Subject Keywords
Theoretical Computer Science
,
Analysis
,
General Mathematics
URI
https://hdl.handle.net/11511/64537
Journal
POSITIVITY
DOI
https://doi.org/10.1007/s11117-019-00695-z
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Department of Food Engineering, Article