2024-03-29T10:11:09Z
https://kitami-it.repo.nii.ac.jp/oai
oai:kitami-it.repo.nii.ac.jp:00006318
2022-12-13T02:19:38Z
7:15:25
A Note of Positive Cone in vector Spaces
ベクトル空間のPositive Cone についての一考察
礒部, 煕郎
32148
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Let E be a real vector space,A positive cone in E is a non-void subset P such that 1) P+P⊂P,2)αP⊂P whenever α is a non-negative scalar, 3)α,−α∈P implies α=0, 4)E={x−y: x, y∈P}. If E is an ordered Vector Space, then E^+={x: x∈E, x>_−0} is a positive cone. In this note is discussed the introduction of a positive cone in E and the expansion of a positive cone.
departmental bulletin paper
北見工業大学
1972-12
application/pdf
北見工業大学研究報告
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4
155
158
https://kitami-it.repo.nii.ac.jp/record/6318/files/4-1-13.pdf
jpn