Jan van Neerven

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math.FA2005

Separated sequences in uniformly convex Banach spaces

Jan van Neerven

We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $δ$ contains a $(1 + \frac{1}{2} δ (\frac{2}{3}))$ -separated sequence.

math.FA2005

Norm discontinuity and spectral properties of Ornstein-Uhlenbeck semigroups

Jan van Neerven, Enrico Priola

Let $E$ be a real Banach space. We study the Ornstein-Uhlenbeck semigroup $P (t)$ associated with the Ornstein-Uhlenbeck operator $$ Lf(x) = \frac12 {\rm Tr} Q D^2 f(x) + <Ax, Df(x)…

math.FA2005

On the action of Lipschitz functions on vector-valued random sums

Jan van Neerven, Mark Veraar

Let $X$ be a Banach space and let $(ξ_{j})_{j \geq 1}$ be an i.i.d. sequence of symmetric random variables with finite moments of all orders. We prove that the following assertions are…