The processes L0 , Ln may be deﬁned so that their respective L´evy measures are concentrated on the set {y ; kykE ≥ r0 }, {y ; rn+1 ≤ kykE < rn }, for any arbitrarily chosen sequence rn ց 0.
Compressible fluid flows driven by stochastic forcing
A symmetric sequence space is a Calkin space e with norm k · ke such that y∗ ≤ x∗ implies kyke ≤ kxke ∀ x ∈ e. A symmetric ideal of compact operators E is a two sided ideal with a norm k · kE such that kST V kE ≤ kS kkT kE kV k, ∀ S, V ∈ L(H ), T ∈ E .
Measure Theory in Noncommutative Spaces
If b ∈ Pp , then taking x = a Moreover, k(Expa )∗x (y)ka,p ≥ kykE xpa (x),p for any x, y ∈ Mh , a fact that will be proved in Theorem 3.14 in the next section.
Spaces of nonpositive curvature arising from a finite algebra
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