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Joint monotone and boolean numerical and spectral radii of d-tuples of operators

Joint monotone and boolean numerical and spectral radii of d-tuples of operators

Abstract We study joint numerical and spectral radii defined for d -tuples of bounded operators on a Hilbert space and related to noncommutative notions of independence. The definitions are in analogy with the ones of Popescu, where his formulations turned out to be related with free creation operators, and in …