An elementary proof of a theorem of Schaefer, Wolff and Arendt

Huijsmans, C. B.

doi:10.1090/S0002-9939-1989-0939965-3

An elementary proof of a theorem of Schaefer, Wolff and Arendt
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by C. B. Huijsmans

Proc. Amer. Math. Soc. 105 (1989), 632-635

DOI: https://doi.org/10.1090/S0002-9939-1989-0939965-3

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Abstract:

An elementary proof of the following result, due to Schaefer, Wolff, and Arendt is given: if $T$ is a lattice homomorphism on a Banach lattice $E$ with spectrum $\sigma (T) = \{ 1\}$, then $T = I$, the identity mapping on $E$.

References

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Riesz spaces

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