Springer Nature - SN SciGraph project
simple proof
1992-01-01
Banach lattice E
following results
note
https://scigraph.springernature.com/explorer/license/
en
https://doi.org/10.1007/978-94-017-2721-1_8
1992
homomorphism
chapters
2022-01-01T19:11
Preserving Operators
73-78
Disjointness Preserving Operators
center
lattice homomorphism
proof
operators
chapter
lattice E
remarks
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.
results
false
Some Remarks on Disjointness Preserving Operators
doi
10.1007/978-94-017-2721-1_8
978-90-481-4205-7
Positive Operators and Semigroups on Banach Lattices
978-94-017-2721-1
Department of Mathematics, University of Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands
Department of Mathematics, University of Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands
pub.1027303957
dimensions_id
W. A. J.
Luxemburg
Faculty of Technical Mathematics and Informatics, Department of Pure Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands
Faculty of Technical Mathematics and Informatics, Department of Pure Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands
Huijsmans
C. B.
Huijsmans
C. B.
Springer Nature
De Pagter
B.