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Apr 13, 2017 at 12:58 history edited CommunityBot
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Sep 28, 2014 at 17:47 history edited Jonathan Gleason CC BY-SA 3.0
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Nov 28, 2012 at 7:54 comment added jbc Mathematical physicists are well aware of the relevance of this situaton to quantum mechanics. I recommend you google "rigged Hilbert space" and "Gelfand triple". What you are looking at is an (probably the) example of such structures. Note that it arises from the following data. A Hilbert space and an unbounded operator thereon (the standard one-dimensional Schrödinger operator). Any such operator leads to corresponding structures. The fact that the above operator has discrete spectrum and that the eigenvalues grow like a power of $ n $ (in this case the square) makes life simpler.
Nov 24, 2012 at 20:28 answer added paul garrett timeline score: 4
Nov 24, 2012 at 19:40 answer added jbc timeline score: 8
Aug 3, 2012 at 3:09 history edited Jonathan Gleason CC BY-SA 3.0
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Nov 5, 2011 at 23:39 answer added Sergei Akbarov timeline score: 1
Nov 4, 2011 at 23:31 history edited Jonathan Gleason CC BY-SA 3.0
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Nov 4, 2011 at 7:23 answer added Anatoly Kochubei timeline score: 6
Nov 4, 2011 at 5:36 comment added Yemon Choi The strong dual of a Frechet space is what is called a DF-space: see e.g. ncatlab.org/nlab/show/DF+space I'm afraid I don't know about the space of all linear operators on DF-spaces, but hopefully someone will come along who knows more about this
Nov 4, 2011 at 5:26 history asked Jonathan Gleason CC BY-SA 3.0