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UN THE SPACES WITH AN ORDER UNIT: A NEW POINT OF  VTEW

UN THE SPACES WITH AN ORDER UNIT: A NEW POINT OF VTEW

  • Author: F. Aktamov
  • Year: 2024
  • Description: In the present paper in a partially ordered linear space we consider a base that generates a convex Hausdorff topology in it. Further using elements of this base we obtain a metric and a norm on the given space.
  • Category: Maqolalar
  • Section: Natural Sciences and Technology
  • Language: English
  • Page count: 13
  • ISBN: 2181-9483
  • Tags: order unit; A-subspace.
  • Keywords: Metric; norm;

Ordered vector spaces made their debut at the beginning of the twentieth century. They were developed in parallel with functional analysis and operator theory. The theory of ordered vector spaces plays a prominent role in functional analysis