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math.OC2012★ 8 cited
The Weiss conjecture and weak norms
Bernhard Hermann Haak
In this note we show that for analytic semigroups the so-called Weiss condition of uniform boundedness of the operators $Re(λ)^\einhalb C(λ+A)^{-1}, \qquad Re(λ)>0$ on the complex…
math.FA2012★ 5 cited
The stochastic Weiss conjecture for bounded analytic semigroups
Jamil Abreu, Bernhard Haak, Jan van Neerven
Suppose -A admits a bounded H-infinity calculus of angle less than pi/2 on a Banach space E with Pisier's property (alpha), let B be a bounded linear operator from a Hilbert space…