Some Remarks on Disjointness Preserving Operators View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1992

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 Є Z(E), the center of E.

PAGES

73-78

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-94-017-2721-1_8

DOI

http://dx.doi.org/10.1007/978-94-017-2721-1_8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027303957


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