Some remarks on disjointness preserving operators View Full Text


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Article Info

DATE

1992-05

AUTHORS

C. B. Huijsmans, B. De Pagter

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)<1 implies T∈Z(E), the center of E.

PAGES

73-78

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00046638

DOI

http://dx.doi.org/10.1007/bf00046638

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1039916642


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