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Factorization by lattice homomorphisms

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References

  1. Aliprantis, C.D., Burkinshaw, O., Kranz, P.: On lattice properties of the composition operator. Manuscripta Math.36, 19–31 (1981)

    Google Scholar 

  2. Arendt, W.: On the spectrum of regular operators. Dissertation, Tübingen 1979

  3. Arendt, W.: On the o-spectrum of regular operators and the spectrum of measures. Math. Z.178, 271–287 (1981)

    Google Scholar 

  4. Bonsall, F.F., Duncan, J.: Complete Normed Algebras. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  5. Cartwright, D.I.: Extension of positive operators between Banach lattices. Mem. Amer. Math. Soc.164 (1975)

  6. Haid, W.: Sätze vom Radon-Nikodym-Typ für Operatoren auf Banachverbänden. Semesterbericht Funktionalanalysis, Tübingen, Wintersemester 1981/82

  7. Hart, D.R.: Disjointness preserving oprators. Thesis, Pasadena 1983

  8. Haydon, R.: Injective Banach lattices. Math. Z.156, 19–47 (1977)

    Google Scholar 

  9. Lindenstrauss, J., Tzafriri, L.: On the isomorphic classification of injective Banach lattices. Math. Analysis and Applications, Part B, Advances in Math. Suppl. Studies, Vol. 7 B, pp. 489–498. New York: Academic Press 1981

    Google Scholar 

  10. Lotz, H.P.: Extensions and liftings of positive linear mappings on Banach lattices. Trans. Amer. Math. Soc.211, 85–100 (1975)

    Google Scholar 

  11. Luxemburg, W.A.J.: Some Aspects of the Theory of Riesz Spaces. Univ. Arkansas Lecture Notes in Math.4. Fayetteville: Univ. of Arkansas 1979

    Google Scholar 

  12. Luxemburg, W.A.J., Schep, A.R.: A Radon-Nikodym type theorem for positive operators and a dual. Indian Math.40, 357–375 (1978)

    Google Scholar 

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

    Google Scholar 

  14. Schaefer, H.H.: On the o-spectrum of order bounded operators. Math. Z.154, 79–84 (1977)

    Google Scholar 

  15. Schaefer, H.H.: Aspects of Banach lattices. In: MAA Stud. Math. (R.C. Bartle, ed.). Washington: Math. Asoc. of America 1980

    Google Scholar 

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Arendt, W. Factorization by lattice homomorphisms. Math Z 185, 567–571 (1984). https://doi.org/10.1007/BF01236265

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