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An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice

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References

  1. Abramovich, Y.A., Geiler, V.A.: On a question of Fremlin concerning order bounded and regular operators. Collog. Math.46, 15–17 (1982)

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  4. Arendt, W., Sourour, A.R.: Perturbation of regular operators and the order essential spectrum. Indagationes Math.89, 109–112 (1986)

    Article  MathSciNet  Google Scholar 

  5. Grobler, J.J.: The zero-two law in Banach lattice algebras. Isr. J. Math.64, 32–38 (1988)

    MATH  MathSciNet  Google Scholar 

  6. Kim, J.: The characterisation of a lattice homomorphism. Can. J. Math.27, 172–175 (1975)

    MATH  Google Scholar 

  7. Lotz, H.P.: Uber das Spektrum positiver Operatoren. Math. Z.108, 15–32 (1968)

    Article  MATH  MathSciNet  Google Scholar 

  8. Schaefer, H.H.: Banach lattices and Positive Operators. Berlin Heidelberg New York: Springer 1974

    MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  10. Schaefer, H.H.: The zero-two law for positive contractions is valid in all Banach lattices. Isr. J. Maths.59, 241–244 (1987)

    MATH  MathSciNet  Google Scholar 

  11. Scheffold, E.: Das Spektrum von Verbandsoperatoren in Banachverbanden. Math. Z.123, 177–190 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  12. Schep, A.R.: A remark on the uniform zero-two law for positive contractions. Semesterbericht Funktionalanalysis13, 189–194 (1988)

    Google Scholar 

  13. Walsh, B.: Ordered vector sequence spaces and related classes of linear operators. Math. Ann.206, 89–138 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  14. Wickstead, A.W.: The regularity of order bounded operators into C(K). Q. J. Math., Oxf. II. Ser.41, 359–368 (1990)

    Article  MATH  MathSciNet  Google Scholar 

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  1. Department of Pure Mathematics, The Queen's University of Belfast, BT7 1NN, Belfast, Nothern Ireland, UK

    A. W. Wickstead

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  1. A. W. Wickstead
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Wickstead, A.W. An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice. Math Z 208, 161–166 (1991). https://doi.org/10.1007/BF02571517

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