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His reflexive characterization of enemies like Henry Clay as "Judases" and his dependence on imagery from the Old Testament?
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This property provides in particular a renorming characterization of the class of all reflexive Banach spaces.
Questions can be raised about the adequacy of this intuitive characterization in connection with so-called reflexive relations such as identity.
So, after proving this property for a Banach space, we know, without any characterization of the dual space, that it is super-reflexive, so reflexive as well.
During the 1970s Brezis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces.
As an application of our characterization of subspaces with Property Sσ, we show that the reflexive algebra tensor product formula alg L1⊗ alg L2 = alg(L1 ⊗ L2) is not always valid.
Flores-Bazán [1] provided some characterizations of the nonemptiness of the solution set for problem (1.1) in reflexive Banach spaces in the quasiconvex case.
The characterization also yields that a Banach space is Polish if and only if it has the reflexive skipped-blocking property.
This paper is devoted to the characterizations of the boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both the mapping and the constraint set are perturbed by different parameters.
Combining these two results one obtains a metric characterization in terms of graph preclusion of the class of asymptotically uniformly convexifiable spaces, within the class of reflexive Banach spaces with an unconditional asymptotic structure.
Reflexive, even?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com