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Disjointly homogeneous Banach lattices and compact products of operators |
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| Authors: | Julio Flores |
| Affiliation: | a Department of Applied Mathematics, Escet, Universidad Rey Juan Carlos, 28933, Móstoles, Madrid, Spain b Department of Mathematical Analysis, Universidad Complutense de Madrid, 28040, Madrid, Spain c Department of Mathematical and Statistical Sciences, University of Alberta, CAB 632, Edmonton, AB, T6G 2G1, Canada |
| Abstract: | The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every two disjoint sequences share equivalent subsequences. It is proved that on this class of Banach lattices the product of a regular AM-compact and a regular disjointly strictly singular operators is always a compact operator. |
| Keywords: | Positive operator Disjointly strictly singular operator AM-compact operator Dunford-Pettis operator |
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