Brezis - Lieb spaces and an operator version of Brezis - Lieb's lemma
Eduard Emelyanov, Mohammad Marabeh
TL;DR
This paper introduces Brezis-Lieb spaces where Brezis-Lieb's lemma applies to nets and explores an operator version of this lemma, expanding the theoretical framework of functional analysis.
Contribution
It presents the concept of Brezis-Lieb spaces and develops an operator version of Brezis-Lieb's lemma, extending existing mathematical results.
Findings
Brezis-Lieb spaces are characterized and studied.
An operator version of Brezis-Lieb's lemma is formulated and analyzed.
Abstract
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.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods