Flores Álvarez, Julio and Hernández, Francisco L.
(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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Official URL: http://www.ams.org/journals/proc/2001-129-07/S0002-9939-00-05948-7/S0002-9939-00-05948-7.pdf

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Compact operators; Banach lattices |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16043 |

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Deposited On: | 24 Jul 2012 09:56 |

Last Modified: | 06 Feb 2014 10:37 |

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