Flores Álvarez, Julio and Hernández Rodríguez, Francisco Luis (2001) Domination by positive disjointly strictly singular operators. Proceedings of the American Mathematical Society, 129 (7). pp. 1979-1986. ISSN 0002-9939
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We prove that each positive operator from a Banach lattice E to a Banach lattice F with a disjointly strictly singular majorant is itself disjointly strictly singular provided the norm on F is order continuous. We prove as well that if S : E --> E is dominated by a disjointly strictly singular operator, then S-2 is disjointly strictly singular.
|Uncontrolled Keywords:||Compact operators; Banach lattices|
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
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|Deposited On:||24 Jul 2012 11:56|
|Last Modified:||24 Jul 2012 11:56|
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