Some Remarks on Disjointness Preserving Operators

C. B. Huijsmans and B. De Pagter
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C. B. Huijsmans: University of Leiden, Department of Mathematics
B. De Pagter: Delft University of Technology, Faculty of Technical Mathematics and Informatics, Department of Pure Mathematics

A chapter in Positive Operators and Semigroups on Banach Lattices, 1992, pp 73-78 from Springer

Abstract: Abstract In this note we present a simple proof of the following results: if T:E→E is a lattice homomorphism on a Banach lattice E, then: i) σ(T)= {1} implies T = I; and ii) r(T−I)

Keywords: lattice homomorphism; Banach lattice (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-94-017-2721-1_8

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