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Nathan Brownlowe, Senior Lecturer in the School of Mathematics and Statistics, University of Sydney

Has a mathematician solved the 'invariant subspace problem'? And what does that even mean?

Michael Dziedzic / Unsplash

Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its list of references contains only a single entry.

The paper purports to contain the final piece of a jigsaw puzzle that mathematicians have been picking away at for more than half a century: the invariant subspace problem.

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