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On the lattice theory of function semi-norms

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  • I. E. Schochetman
  • S. K. Tsui

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.

Suggested Citation

  • I. E. Schochetman & S. K. Tsui, 1983. "On the lattice theory of function semi-norms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:796980
    DOI: 10.1155/S0161171283000381
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