Weak order unit
Appearance
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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
[edit]- 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
[edit]- Quasi-interior point
- Vector lattice – Partially ordered vector space, ordered as a lattice
Citations
[edit]- ^ Schaefer & Wolff 1999, pp. 234–242.
- ^ Schaefer & Wolff 1999, pp. 204–214.
References
[edit]- 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.