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- W2213203144 abstract "In this note, we shall explain the notion of supremum (least upper bound)and infimum (greatest lower bound) in partially ordered linear space E. In general, partially ordered linear space E is not lattice ordered i.e. it is not necessary to have least upper bound for arbitrary two elements x, y ∈ E. But in some partially ordered linear space, we can define least upper bounds denoted by x ⋁ y for two elements x, y ∈ E, which is a subset and no more single element in general. The subset x ⋁ y is defined as totality of elements z such that (1) z ≥ x and z ≥ y, (2) if z ≥ w and w ≥ x,w ≥ y, then w=z. We shall clearify properties of these subsets x ⋁ y." @default.
- W2213203144 created "2016-06-24" @default.
- W2213203144 creator A5024947050 @default.
- W2213203144 date "1999-01-01" @default.
- W2213203144 modified "2023-10-18" @default.
- W2213203144 title "Topics on Partially Ordered Linear Space" @default.
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- W2213203144 doi "https://doi.org/10.1007/978-1-4613-0297-1_16" @default.
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