When orthomorphisms are in the ideal center

When orthomorphisms are in the ideal center We give a complete description of those relatively uniformly vector lattices $$A$$ A with the property that every orthomorphism on $$A$$ A is in the ideal center of $$A$$ A , which gives a positive answer to a problem raised in Wickstead (Compos Math 35(3):225–238, 1977). The idea comes from Basly and Triki (On uniformly closed ideals in f-algebras, In: 2nd Conference, functions spaces. Marcel Dekker 29–33, 1995). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

When orthomorphisms are in the ideal center

Positivity , Volume 18 (3) – Dec 11, 2013

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Publisher
Springer Basel
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-013-0263-3
Publisher site
See Article on Publisher Site

References

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