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I have basically finished my grad school applications and have some time at hand. I want to start reading some classic papers in Operator Theory so as to breathe more culture here. I have read some when doing specific problems but have never systematically study the literature.

I wonder whether someone can give some suggestions on where to start since this area has been so highly-developed. Maybe to focus the attention let's, say, try to make a list of the top 20 must-read papers in Operator Theory. I believe this must be a very very difficult job, but maybe some more criteria would make it a little bit easier.

  1. I can only read English and Chinese and it's a pity since I know many of the founding fathers use other languages.

  2. I prefer papers that give some kind of big pictures, since I can always pick up papers related to specific problems when I need them (but this is not a strict restriction).

  3. I would like to focus on the theory itself, not too much on application to physics.

  4. I have already done a rather thorough study of literature related to the invariant subspace problem, so I guess we can omit this important area.

Thanks very much!

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    @HuiYu, do papers on operator space theory count? If they do, take a look at G.Pisier's papers on Dixmier' problem and various other problems.2013-12-18

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