Some Remarks on Disjointly Strictly Singular Positive Operators

Author: Flores Julio  

Publisher: Springer Publishing Company

ISSN: 1385-1292

Source: Positivity, Vol.9, Iss.3, 2005-09, pp. : 385-396

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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 Lp-spaces.