x\leq 0.} An Archimedean (pre)ordered vector space is a (pre)ordered vector space whose order is Archimedean. A preordered vector space X {\displaystyle...
4 KB (671 words) - 13:35, 11 June 2024
an ordered vector space or partially ordered vector space is a vector space equipped with a partial order that is compatible with the vector space operations...
23 KB (3,901 words) - 09:54, 26 June 2024
. – Alternative decimal expansion of 1 Archimedean ordered vector space – A binary relation on a vector space Construction of the real numbers "Math 2050C...
16 KB (2,387 words) - 13:22, 23 June 2024
analysis and order theory, an ordered topological vector space, also called an ordered TVS, is a topological vector space (TVS) X that has a partial order...
4 KB (644 words) - 15:55, 9 August 2024
Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice. Riesz spaces are...
31 KB (5,296 words) - 00:18, 26 January 2024
order An ordered vector space is a partially ordered group A Riesz space is a lattice-ordered group A typical example of a partially ordered group is...
8 KB (1,120 words) - 11:18, 1 April 2024
This property implies that the field is Archimedean. Vector spaces (particularly, n-spaces) over an ordered field exhibit some special properties and...
14 KB (2,208 words) - 10:00, 10 June 2024
formalism of vector spaces, with the work of Hermann Grassmann and Giuseppe Peano, the latter of whom first gave the modern definition of vector spaces as an...
34 KB (4,829 words) - 17:02, 29 May 2024
order topology of an ordered vector space ( X , ≤ ) {\displaystyle (X,\leq )} is the finest locally convex topological vector space (TVS) topology on X...
9 KB (1,371 words) - 20:38, 15 December 2022
Schläfli's Euclidean 4D space. Single locations in Euclidean 4D space can be given as vectors or 4-tuples, i.e., as ordered lists of numbers such as...
44 KB (5,322 words) - 11:50, 10 August 2024