Sentence examples for dual unit from inspiring English sources

Also, we show that for every separable Banach space containing ℓ1 and for every ε>0 there is an equivalent norm so that every convex combination of w⁎-slices in the dual unit ball has diameter at least 2−ε.

We prove that the norm of an arbitrary Banach space is octahedral if, and only if, every convex combination of w⁎-slices in the dual unit ball has diameter 2, which answers an open question.

We classify several classes of the subspaces of Banach spaces X for which there is a bounded linear operator from a Hilbert space onto a dense subset in X. Dually, we provide optimal affine homeomorphisms from weak star dual unit balls onto weakly compact sets in Hilbert spaces or in c0 spaces in their weak topology.

right} end{aligned}is called the dual unit sphere.

Let (widehat{x}(t)) be a point on the dual unit sphere.

We consider the topological subspace of the product space, equipped with norm and weak- topology on the unit ball of and its dual unit ball, respectively.

During a routine decennial review of the directive in 2008, the EU postponed the sunset clause for dual units indefinitely.

Inpatients will be recruited from three units within the facility (two general adult units and one dual diagnosis unit), with a total of 66 beds, with three other units excluded from this study (two emergency psychiatric care units and one geriatric unit).

FYI, California's two nuclear power plants, the dual-unit Diablo Canyon and dual-unit San Onofre systems, produce about one-fifth of the state's total electricity generation.

The AC3900 comes with three units and costs the same as Linksys' dual-unit AC4400.

Dual-unit labelling on consumer goods is mandatory.