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A Wiener-Young type theorem for dual semigroups

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Abstract

The purpose of this paper is to obtain extensions of the Wiener-Young theorem for strongly continuous semigroups of positive operators in Banach lattices.

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References

  1. C.D. Aliprantis, O. Burkinshaw, Positive Operators, Acad. Press, London, 1985.

    Google Scholar 

  2. P.L. Butzer, H. Berens, Semigroups of Operators and Approximation, Springer-Verlag, Berlin-Heidelberg-New York, 1967.

    Google Scholar 

  3. A. Grabosch, R. Nagel, Order structure of the semigroup dual: a counter example, Indag. Math. 92 (1989), pp. 199–201.

    Google Scholar 

  4. E. Hille, R.S. Phillips, Functional Analysis and Semi-groups, Amer. Math. Soc. Colloq. Publ. 31, AMS, Providence, 1957.

    Google Scholar 

  5. J.M.A.M. van Neerven, B.de Pagter, Certain semigroups on Banach function spaces and their adjoints, in: Semigroup Theory and Evolution Equations, Lecture Notes in Pure and Applied Mathematics 135, Marcel Dekker, New York-Basel, 1991.

    Google Scholar 

  6. R.S. Phillips, The adjoint semi-group, Pac. J. Math. 5 (1955), pp. 269–283.

    Google Scholar 

  7. A. Plessner, Eine Kennzeichnung der totalstetigen Funktionen, J. für Reine und Angew. Math. 60 (1929), pp. 26–32.

    Google Scholar 

  8. H.H. Schaefer, Banach Lattices and Positive Operators, Springer-Verlag, Berlin-Heidelberg-New York, 1974.

    Google Scholar 

  9. N. Wiener, R.C. Young, The total variation of g(x+h)−g(x), Trans. Amer. Math. Soc. 33 (1935), pp. 327–340.

    Google Scholar 

  10. A.C. Zaanen, Riesz Spaces II, North-Holland, Amsterdam-New York-Oxford, 1983.

    Google Scholar 

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de Pagter, B. A Wiener-Young type theorem for dual semigroups. Acta Appl Math 27, 101–109 (1992). https://doi.org/10.1007/BF00046641

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