Universal and chaotic multipliers on spaces of operators (Q1883361)

The authors use tensor product techniques, developed in [J. Approximation Theory 124, 7--24 (2003; Zbl 1062.47014), reviewed below], to study universality, hypercyclicity and chaos of multipliers defined on operator ideals and of multiplication operators on the space of all continuous and linear operators, thus continuing the work of \textit{K. C. Chan} [J. Oper. Theory 42, 231--244 (1999; Zbl 0997.47058)]. They also obtain the first examples of outer multipliers on a Banach algebra which are chaotic in the sense of Devaney, and prove sufficient conditions for the existence of closed subspaces of universal vectors for operators between Fréchet spaces.