A relationship between the space of orthomorphisms and the centre of a vector lattice revisited

A relationship between the space of orthomorphisms and the centre of a vector lattice revisited In (Chil et al. Positivity, 2014), the authors claim to give a counterexample to the main result, about Wickstead’s question, in a recent paper of Toumi (see Theorem 3, When orthomorphisms are in the ideal center, Positivity 18(3):579–583, 2014). In this note we show that their example is consistent with the main result of Toumi and not a counterexample. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

A relationship between the space of orthomorphisms and the centre of a vector lattice revisited

Positivity , Volume 20 (2) – Aug 5, 2015
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Publisher
Springer International Publishing
Copyright
Copyright © 2015 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/s11117-015-0358-0
Publisher site
See Article on Publisher Site

Abstract

In (Chil et al. Positivity, 2014), the authors claim to give a counterexample to the main result, about Wickstead’s question, in a recent paper of Toumi (see Theorem 3, When orthomorphisms are in the ideal center, Positivity 18(3):579–583, 2014). In this note we show that their example is consistent with the main result of Toumi and not a counterexample.

Journal

PositivitySpringer Journals

Published: Aug 5, 2015

References

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