Abstract
We consider L p -spaces of measurable functions ranging in a Hilbert space and single out a class of contractions on such spaces for which the pointwise ergodic theorem holds.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 40, No. 2, pp. 90–94, 2006
Original Russian Text Copyright © by R. Jajte
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Jajte, R. A pointwise ergodic theorem for contractions in \(\mathbb{L}_p \)(ℋ)-spaces. Funct Anal Its Appl 40, 159–162 (2006). https://doi.org/10.1007/s10688-006-0026-z
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DOI: https://doi.org/10.1007/s10688-006-0026-z