In the case where X contains an infinite-dimensional separable dual space or an unconditional basic sequence, the set A may be chosen in a way that ∥x±y∥⩾1+ε for some ε>0 and distinct x,y∈A.
We construct a family (Xγ) of reflexive Banach spaces with long (countable as well as uncountable) transfinite bases but with no unconditional basic sequences.
We construct a Bourgain Delbaen L∞-space XKus with structure that is strongly heterogeneous: any bounded operator on XKus is a compact perturbation of a multiple of the identity, whereas the space XKus is saturated with unconditional basic sequences.
By utilizing the implied GEL probabilities from a sequence of unconditional moment restrictions that contains equivalent information of the conditional moment restrictions, we construct Kolmogorov-Smirnov and Cramer-von Mises type moment encompassing tests.
However, if he returns empty-handed because Iran balked committing itself to unconditional "anywhere/anytime verification, or sequenced sanctions relief, or a quantifiable curb on its R&D and centrifuges, no one will blame him.
In 1974, Brunel and Sucheston [4] introduced the concept of spreading model and gave a result that every normalized weakly null sequence contains an asymptotic unconditional subsequence, they call the subsequence spreading model.
Among other things, it is shown that the space C is universal for all spreading models, i.e., it admits all spreading sequences, both conditional and unconditional, as spreading models.
These are reflexive asymptotic ℓ1spaces with an unconditional basis (ei ihaving the property that every sequence {xi}ni=1of normalized disjointly supported vectors contained in ⦠ei⦔∞i=nis equivalent to the basis of ℓn1.
Then we give a criterion for sequences of reproducing kernels which form an unconditional basis in their closed linear span.
Floxed CNTFRα mice were generated in which Cre-induced removal of the targeted sequence functionally inactivates the CNTFRα gene, based on both the unconditional CNTFRα knockout (DeChiara et al., 1995) and structure function relationships for related cytokine receptors (Bazan, 1990).
It is shown that every conditional spreading sequence can be decomposed into two well behaved parts, one being unconditional and the other being convex block homogeneous, i.e. equivalent to its convex block sequences.
