Internal characterization of Brezis-Lieb spaces

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2020-07-01

Author

Emelyanov, E. Y.
Marabeh, M. A. A.

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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

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Citation Formats

E. Y. Emelyanov and M. A. A. Marabeh, “Internal characterization of Brezis-Lieb spaces,” POSITIVITY, pp. 585–592, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64537.