The Wickstead problem on Dedekind σ-complete vector lattices

The Wickstead problem on Dedekind σ-complete vector lattices In this paper, we present some results concerning the automatic order boundedness of band preserving operators on Dedekind σ-complete vector lattices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

The Wickstead problem on Dedekind σ-complete vector lattices

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Publisher
SP Birkhäuser Verlag Basel
Copyright
Copyright © 2009 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-009-0010-y
Publisher site
See Article on Publisher Site

Abstract

In this paper, we present some results concerning the automatic order boundedness of band preserving operators on Dedekind σ-complete vector lattices.

Journal

PositivitySpringer Journals

Published: Mar 27, 2009

References

  • On disjointness preserving operators
    Abramovich, Y.A.; Veksler, A.I.; Koldunov, A.V.
  • On order convergence of nets
    Abramovich, Y.A.; Sirotkin, G.

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