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


Author: C. B. Huijsmans
Journal: Proc. Amer. Math. Soc. 105 (1989), 632-635
MSC: Primary 47B55; Secondary 46B30
MathSciNet review: 939965
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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$.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0939965-3
Article copyright: © Copyright 1989 American Mathematical Society