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Talk:Continuous linear extension

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This is an old revision of this page, as edited by Jitse Niesen (talk | contribs) at 14:38, 9 February 2004 (reply to Lupin re page title). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

I think this is not a great article title. It's

  • non-standard -- googling for BLT "bounded linear transformation" returns few hits and I've never heard of it :P
  • contains a cryptic acronym, so is hard to refer to without explaining what the acronym means.

I'd suggest changing it to one of continuous linear extension, continuous linear extension theorem and redirecting from BLT theorem and BLT-theorem to that. You use the word bounded in place of continuous, too.

Nice article, though!

-- Lupin 10:43, 9 Feb 2004 (UTC)

I agree that it should be moved. Why do you prefer continuous? The texts which I checked (admittedly only three), all talk about bounded linear operators; is continuous more common? (I know that both terms are equivalent for linear operators.) It did make me think though; the construction seems to work just as for continuous, nonlinear operators (except that the extension is of course no longer linear). Any idea why Reed and Simon single out the linear case? -- Jitse Niesen 14:38, 9 Feb 2004 (UTC)
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