Mixing Sequences in Hilbert Spaces

Daniel Berend, Vitaly Bergelson
1986 Proceedings of the American Mathematical Society  
A general setup is provided for theorems of the Blum-Hanson type. Notions of strongly and weakly mixing sequences of elements in a Hubert space are defined, and equivalent characterizations are derived. It turns out that many known generalizations of the Blum-Hanson theorem are special cases of an abstract version which is also suitable for the nonlinear situation.
doi:10.2307/2045691 fatcat:yqjr4xa6rjb6rfaq423jnc7yre