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Simple motion systems and Banach spaces associated to uniformly bounded representations
Mathematical Proceedings of the Cambridge Philosophical Society, 1999Given a uniformly bounded representation of a locally compact group, we consider the closed circled convex hull K of the orbit of a vector. We call K a simple motion system (SMS) and endow its linear hull with the Minkowski functional of K. The representation theory on these ‘SMS-spaces’ is discussed, in particular for C0-representations, for ...
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A Simple Example of a Normal Operator T on a Banach Space Such That r(T) < || T ||
Proceedings of the American Mathematical Society, 1990Bonsall and Duncan's book ([1, Theorem 25.6]) exhibits a normal element h + ik of a Banach algebra such that r(h + ik) 1980 Mathemnatics Subject Classification (1985 Revision). Primary 47A12; Secondary 47B20.
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