On the lattice theory of function semi-norms

I. E. Schochetman and S. K. Tsui

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-17

Abstract:

We consider the lattice of function semi-norms over a measure space, as well as certain distinguished subsets. We determine which subsets are sublattices and, in turn, which of these are Dedekind complete. We also investigate the extent to which the distributive and DeMorgan Laws are valid in this setting.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:796980

DOI: 10.1155/S0161171283000381

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