International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1983 / Article

Open Access

Volume 6 |Article ID 796980 | https://doi.org/10.1155/S0161171283000381

I. E. Schochetman, S. K. Tsui, "On the lattice theory of function semi-norms", International Journal of Mathematics and Mathematical Sciences, vol. 6, Article ID 796980, 17 pages, 1983. https://doi.org/10.1155/S0161171283000381

On the lattice theory of function semi-norms

Received11 Oct 1982

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.

Copyright © 1983 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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