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Functorial properties of the lattice of functional semi-norms

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  • I. E. Schochetman
  • S. K. Tsui

Abstract

Given a measureable transformation between measure spaces, we determine when such gives rise to a mapping between the corresponding lattice of function semi-norms. We further determine when this mappings preserves norms and observe that it does preserve certain other important properties. We next establish a functorial connection between measure spaces and lattice. Finally, we show that the above lattice mapping does not commute with the associate construction.

Suggested Citation

  • I. E. Schochetman & S. K. Tsui, 1986. "Functorial properties of the lattice of functional semi-norms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:279683
    DOI: 10.1155/S0161171286000029
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