Daniel Berend

Senior Academic

Mixing sequences in hilbert spaces

Daniel Berend, Vitaly Bergelson

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.

Publication language English
Pages 239-246
Journal Proceedings of the American Mathematical Society
Volume 98
Issue number 2
Publication status Published - 01.01.1986

ASJC Scopus subject areas

General Mathematics
Applied Mathematics