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Journal of the London Mathematical Society 1998 58(3):587-602; doi:10.1112/S002461079800684X
© 1998 by London Mathematical Society
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© The London Mathematical Society

A Uniform Ergodic Theorem for Commuting Semigroups

M. Mbekhta and F.-H. Vasilescu

UFR de Mathématiques, Université des Sciences et Technologies de Lille 59655 Villeneuve d'Ascq Cedex, France
Institute of Mathematics, Romanian Academy PO Box 1-764, 70700 Bucharest, Romania

Received 15 April 1994. Revision received 23 May 1996.

The existence of the limit, in the uniform topology, of the averages of a finite family of commuting strongly continuous semigroups of bounded linear operators in a Banach space is characterised in terms of infinitesimal generators.

Université de Galatasaray, Çiragan Cad 102, Ortakoy 80840, Istanbul, Turkey

UFR de Mathématiques, Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq Cedex, France


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