# Ergodic averages with vector-valued Besicovitch weights

Ergodic averages with vector-valued Besicovitch weights For a von Neumann algebra $${\mathcal M}$$ , we introduce $${\mathcal M}$$ -valued Besicovitch sequences and study the norm and individual convergences of the corresponding weighted ergodic averages. The limits of the averages are examined under the condition that the contraction in question is weakly mixing. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# Ergodic averages with vector-valued Besicovitch weights

Positivity, Volume 17 (1) – Oct 14, 2011
20 pages

/lp/springer_journal/ergodic-averages-with-vector-valued-besicovitch-weights-6o3DjMmYaG
Publisher
Springer Journals
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-011-0147-3
Publisher site
See Article on Publisher Site

### Abstract

For a von Neumann algebra $${\mathcal M}$$ , we introduce $${\mathcal M}$$ -valued Besicovitch sequences and study the norm and individual convergences of the corresponding weighted ergodic averages. The limits of the averages are examined under the condition that the contraction in question is weakly mixing.

### Journal

PositivitySpringer Journals

Published: Oct 14, 2011

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