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ordered vector space (Definition)
PositiveCone3

"ordered vector space" is owned by CWoo.
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See Also: topological lattice

Other names:  ordered linear space
Also defines:  positive cone

Attachments:
vector lattice (Definition) by CWoo
ordered topological vector space (Definition) by CWoo
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Cross-references: one-to-one correspondence, proper cone, addition, cone, convex set, complexification, po-group, abelian, similar, proof, clear, converse, scalar, greatest lower bound, lower bound, least upper bound, upper bound, ordering, functions, vector, finite dimensional, top, implication, contradiction, implies, element, bottom, zero vector, iff, property, poset, vector space, ordered field
There are 6 references to this entry.

This is version 17 of ordered vector space, born on 2007-01-26, modified 2007-05-14.
Object id is 8822, canonical name is OrderedVectorSpace.
Accessed 2683 times total.

Classification:
AMS MSC06F20 (Order, lattices, ordered algebraic structures :: Ordered structures :: Ordered abelian groups, Riesz groups, ordered linear spaces)
 46A40 (Functional analysis :: Topological linear spaces and related structures :: Ordered topological linear spaces, vector lattices)

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