Some Remarks on Disjointly Strictly Singular Positive Operators

Some Remarks on Disjointly Strictly Singular Positive Operators We characterize disjointly strictly singular positive operators by means of the compactness of their restrictions to infinite dimensional sublattices. We also give some results concerning duality in this class of operators in the setting of L p -spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Some Remarks on Disjointly Strictly Singular Positive Operators

Positivity , Volume 9 (3) – Jun 18, 2004
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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2005 by Springer
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/s11117-004-0733-8
Publisher site
See Article on Publisher Site

Abstract

We characterize disjointly strictly singular positive operators by means of the compactness of their restrictions to infinite dimensional sublattices. We also give some results concerning duality in this class of operators in the setting of L p -spaces.

Journal

PositivitySpringer Journals

Published: Jun 18, 2004

References

  • Domination by positive strictly singular operators
    Flores, J.; Hernández, F.L.

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