In: Tatra Mountains Mathematical Publications, vol. 52, no. 2
Piotr J. Wojciechowski - Jennifer Del Valle
Detaily:
Rok, strany: 2012, 101 - 113
Kľúčové slová:
ordered vector space,
direct order, lattice-subspace, Riesz Decomposition
O článku:
A comprehensive method of determining if a subspace of usually ordered space $\mathbb{R}n$ is directly-ordered is presented here. Also, it is proven in an elementary way that if a directly-ordered vector space has a positive cone generated by its extreme vectors then the Riesz Decomposition Property implies the lattice conditions. In particular, every directly-ordered subspace of $\mathbb{R}n$ is a lattice-subspace if and only if it satisfies the Riesz Decomposition Property.
Ako citovať:
ISO 690:
Wojciechowski, P., Del Valle, J. 2012. A note on directly ordered subspaces of $\mathbb{R}n$. In Tatra Mountains Mathematical Publications, vol. 52, no.2, pp. 101-113. 1210-3195.
APA:
Wojciechowski, P., Del Valle, J. (2012). A note on directly ordered subspaces of $\mathbb{R}n$. Tatra Mountains Mathematical Publications, 52(2), 101-113. 1210-3195.