Functorial properties of the lattice of functional semi-norms

I. E. Schochetman and S. K. Tsui

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-6

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.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:279683

DOI: 10.1155/S0161171286000029

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