ar X iv : m at h / 03 05 06 7 v 1 [ m at h . O C ] 4 M ay 2 00 3 Global Asymptotic Controllability Implies Input to State Stabilization ∗

ar X iv : m at h / 06 05 35 5 v 1 [ m at h . G R ] 1 3 M ay 2 00 6 Axes in Outer Space

ar X iv : m at h / 02 03 15 3 v 1 [ m at h . O C ] 1 5 M ar 2 00 2 CONTROLLABILITY OF REDUCED SYSTEMS

Sufficient conditions for the controllability of a conservative reduced system are given. Several examples illustrating the theory are also presented.

ar X iv : m at h / 03 05 34 2 v 1 [ m at h . O A ] 2 6 M ay 2 00 3 State spaces of JB ∗ - triples ∗ Matthew

An atomic decomposition is proved for Banach spaces which satisfy some affine geometric axioms compatible with notions from the quantum mechanical measuring process. This is then applied to yield, under appropriate assumptions, geometric characterizations, up to isometry, of the unit ball of the dual space of a JB∗-triple, and up to complete isometry, of one-sided ideals in C∗-algebras.

ar X iv : a st ro - p h / 06 05 06 7 v 1 2 M ay 2 00 6 Sensitivity and pointing accuracy of the NEMO km 3 telescope

ar X iv : m at h / 03 05 20 7 v 4 [ m at h . D S ] 6 M ay 2 00 6 Lipschitz Flow - box Theorem

A generalization of the Flow-box Theorem is proven. The assumption of a C vector field f is relaxed to the condition that f be locally Lipschitz. The theorem holds in any Banach space.