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On the “zero-two” law for positive contractions*

Published online by Cambridge University Press:  20 January 2009

Radu Zaharopol
Radu Zaharopol
Affiliation:
Department of MathematicsThe Ohio State University231 West 18th AvenueColumbus, Ohio 43210, U.S.A.
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Let (X, Σ,μ) be a measure space (where μ is a positive σ-additive measure) and let Lp(X,Σ,μ), 1≦p≦ + ∞ be the usual real Banach lattices.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 3 , October 1989 , pp. 363 - 370
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

REFERENCES

1.Foguel, S. R., More on the “zero-two” law, Proc. Amer. Math. Soc. 61 (1976), 262–264.Google Scholar
2.Ornstein, D. and Sucheston, L., An operator theorem on L 1 convergence to zero with applications to Markov kernels, Ann. Math. Statist. 41 (1970), 1631–1639.CrossRefGoogle Scholar
3.Schaefer, H. H., Banach Lattices and Positive Operators, Springer-Verlag, Berlin-Heidelberg-New York, 1974.CrossRefGoogle Scholar
4.Zaharopol, R., The modulus of a regular linear operator and the ‘zero-two” law in Lp-spaces (1<p<+∞, p≠2), J. Funct. Anal. 68 (1986), 300–312.CrossRefGoogle Scholar