Geodesic
Abelian ergodic theorems for vector-valued functions
Glasgow mathematical journal, Tome 16 (1975) no. 1, pp. 57-60

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This note contains extensions of the Abelian ergodic theorems in [3] and [6] to functions which take their values in a Banach space. The results are based on an adaptation of Rota's maximal ergodic theorem for Abel limits [8]. Convergence theorems for continuous parameter semigroups are deduced by the approximation technique developed in [3], [6]. A direct application of the resolvent equation also enables us to deduce a convergence theorem for pseudo-resolvents. 
Kopp, P. E. Abelian ergodic theorems for vector-valued functions. Glasgow mathematical journal, Tome 16 (1975) no. 1, pp. 57-60. doi: 10.1017/S0017089500002512
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