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Order continuity of the transition semigroup in Banach spaces

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Abstract.

We show that the transition semigroup in the Banach spaces \( BUC(l^{p})\,(0 < p < \infty) \) can be represented by a measure.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of sciences, Ibn Zohr University, 28/s, Agadir, Morocco

    M. Abouabassi, A. Driouich & O. El-Mennaoui

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  1. M. Abouabassi
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  2. A. Driouich
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  3. O. El-Mennaoui
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Additional information

Received: 24 July 2002; revised manuscript accepted: 6 December 2002

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Abouabassi, M., Driouich, A. & El-Mennaoui, O. Order continuity of the transition semigroup in Banach spaces. Arch. Math. 82, 528–533 (2004). https://doi.org/10.1007/s00013-003-554-1

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  • DOI: https://doi.org/10.1007/s00013-003-554-1

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