Abstract
Kendall has given a geometrical characterization of vector lattices among the vector spaces with a generating cone. The characterizing property is that the cone should have a linearly compact simplex as a base. Among the vector lattices we specialize to those which admit a lattice norm with a certain nice property, called proximity, which is defined. All Abstract Lebesgue spaces have the proximity property.
Original language | English |
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Pages (from-to) | 75-78 |
Journal | Mathematical Chronicle |
Volume | 20 |
Publication status | Published - 1991 |