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Mais je n’aime pas bien le mot “liminaire”

22 June, 2011

Since efforts to write some mathematics on this blog keep stalling: here is the sort of thing which makes you feel better about digging through a textbook in search of a few key technical parts for citation. (I’d seen this a couple of years ago, but was reminded of it during my current foraging.)

The original name CCR means ‘completely continuous representations’ (completely continuous operators being another name for C(H)). The next layer in this hierarchy, ‘GCR’ indicates a generalization of the CCR condition. The modern names ‘liminary’ and ‘postliminary’ do not mean anything, which may be more aesthetic. In any case the Anglo-Saxon Habit of Condensing Every Formula into its Leading Characters (abbreviated ASHCEFLC) should not be tolerated in mathematics.

(From the notes to Section 6.2 of Pedersen’s book CAAG.)

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