ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXI, 2(2002)
p. 221

Pointwise weighted vector ergodic theorem in L1(X)
K. El Berdan

Abstract.  In this paper we prove the almost everywhere convergence of weighted multiparameter averages of linear surjective isometries in $L^{1}(X)$ and power bounded in $L^{p}(X),1\le p\leq \infty .$

AMS subject classification:  47A35
Keywords:  Norm resolution, ergodic theorem, Banach space