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Timeline for Compact non-nuclear operators

Current License: CC BY-SA 3.0

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May 2, 2016 at 23:14 comment added Bill Johnson I don't know if Pisier's construction always gives a space on which there operators that are not scalar plus nuclear, but they can contain $\ell_1\oplus \ell_2$ isomorphically, and if follows from known results that on any space that contains $\ell_1\oplus \ell_2$ isomorphically there is an operator that has closed, infinite dimensional and infinite codimensional.range.
May 1, 2016 at 16:29 comment added Markus Is the lack of compact, non-nuclear operators equivalent with the "scalar plus nuclear"? It seems to be a weaker requirement
May 1, 2016 at 15:17 vote accept Markus
May 1, 2016 at 15:17 comment added Yemon Choi Hah, I had a vague recollection that his 1983 example might answer the question, but I couldn't remember the details off the top of my head.
May 1, 2016 at 15:16 history answered Bill Johnson CC BY-SA 3.0