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On the lattice theory of function semi-norms
Author(s) -
Irwin E. Schochetman,
Sze-Kai Tsui
Publication year - 1983
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171283000381
Subject(s) - mathematics , distributive property , dedekind cut , lattice (music) , distributive lattice , dedekind sum , pure mathematics , space (punctuation) , function (biology) , physics , evolutionary biology , acoustics , biology , linguistics , philosophy
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

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