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Talk:Nuclear operators between Banach spaces

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This is an old revision of this page, as edited by Lethe (talk | contribs) at 23:49, 12 March 2006 (is it a dual basis?: thanks). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

is it a dual basis?

The article uses a basis {fn}n for space B and a basis {fn*}n for A*. Now, the fact that the symbol f is used for both bases makes me want to think that one is the dual basis of the other. However, given that they're in different spaces, this doesn't seem possible. If they are not meant to be dual bases, I would really prefer it if different symbols were used. I'd like to change it, but I'm not sure. -lethe talk + 17:54, 7 March 2006 (UTC)[reply]

You are right, these should be called g or some such. I'm not sure what I was thinking. Maybe I wanted to avoid confusion with the g earlier in the article. Maybe I changed notation half way through, and got sloppy. linas 02:54, 8 March 2006 (UTC)[reply]
Actually, it was User:R.e.b. that introduced this confusion, circa October 2005, as a by-product of other changes. I fixed it, I believe. linas 16:51, 12 March 2006 (UTC)[reply]
Thank you, linas. -lethe talk + 23:49, 12 March 2006 (UTC)[reply]