Hereditary cones, order ideals and half-norms

Robinson, Derek W.; Yamamuro, Sadayuki

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Hereditary cones, order ideals and half-norms

Date

1984

Authors

Robinson, Derek W.

Yamamuro, Sadayuki

Abstract

Let B be an ordered normed space with positive cone B+ and let N be the canonical half-norm of B+, i.e., Then, for any hereditary subcone C of B+, the positive bipolar CΓΓ coincides with the N-closiire CN of S, i.e., Similar facts are proved for order ideals and these results are used to derive a result of Stermer on archimedean order ideals.

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https://dspace-test.anu.edu.au/handle/1885/733735958

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DevOps Pure Testing

Source

Pacific Journal of Mathematics

Type

Article

DOI

10.2140/pjm.1984.110.335

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Hereditary cones, order ideals and half-norms

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