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Ergodic theorems for tensor products
Authors:Joseph M Szucs
Affiliation:Department of General Academics, Texas A&M University at Galveston, P.O. Box 1675, Galveston, Texas 77553 USA
Abstract:An ergodic theorem is proved for tensor products of Banach spaces. As a special case, an ergodic theorem is proved for vector-valued Lp-spaces. This theorem generalizes results of Aribaud, J. Funct. Anal.5 (1970), 395–411, and Dinculeanu, J. Funct. Anal.12 (1973), 229–235.
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