Weak order unit
In mathematics, specifically in order theory and functional analysis, an element of a vector lattice is called a weak order unit in if and also for all [1]
Examples
- If is a separable Fréchet topological vector lattice then the set of weak order units is dense in the positive cone of [2]
See also
- Quasi-interior point
- Vector lattice – Partially ordered vector space, ordered as a latticePages displaying short descriptions of redirect targets
Citations
- ^ Schaefer & Wolff 1999, pp. 234–242.
- ^ Schaefer & Wolff 1999, pp. 204–214.
References
- Narici, Lawrence; Beckenstein, Edward (2011). Topological Vector Spaces. Pure and applied mathematics (Second ed.). Boca Raton, FL: CRC Press. ISBN 978-1584888666. OCLC 144216834.
- Schaefer, Helmut H.; Wolff, Manfred P. (1999). Topological Vector Spaces. GTM. Vol. 8 (Second ed.). New York, NY: Springer New York Imprint Springer. ISBN 978-1-4612-7155-0. OCLC 840278135.
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- Ordered vector space
- Partially ordered space
- Riesz space
- Order topology
- Order unit
- Positive linear operator
- Topological vector lattice
- Vector lattice
- AL-space
- AM-space
- Archimedean
- Banach lattice
- Fréchet lattice
- Locally convex vector lattice
- Normed lattice
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- Lattice disjoint
- Dual/Polar cone
- Normal cone
- Order complete
- Order summable
- Order unit
- Quasi-interior point
- Solid set
- Weak order unit
- Order convergence
- Order topology
- Positive
- State
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