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math.FA2018
Internal characterization of Brezis -- Lieb spaces
Eduard Emelyanov, Mohammad Marabeh
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 Brezi…
math.FA2018
Brezis - Lieb spaces and an operator version of Brezis - Lieb's lemma
Eduard Emelyanov, Mohammad Marabeh
The Brezis - Lieb spaces, in which Brezis - Lieb's lemma holds true for nets, are introduced and studied. An operator version of Brezis - Lieb's lemma is also investigated.