The London Review of Books has a review of Keith Devlin's book on the
Clay Math Millennium problems, `The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time.'
http://www.lrb.co.uk/v26/n14/moor02_.html
The review is by A W Moore, a fellow in Philosophy at Oxford.
In the same article, is a sympathetic portrait of Louis de Branges, who
currently claims the solution to the Invariant Subspace Problem, and the
Invariant Subspace Problem.
The portrait by Karl Sabbagh, also paints the Mathematical community as
somewhat cruel hearted about de Branges' claims. He does mention that
de Branges' version of the proofs has changed several times over the last
ten years. But does not mention the time that a range of very serious mathematicians have spend trying to verify earlier versions of the proofs.
I was at Indiana University when the earliest versions of the proofs came out.
Ciprian Foias and Hari Bercovici were part of a multi week seminar during
which de Branges saught to explain the proof. Later, a concrete error was found. This story has been repeated several times, which Mr Sabbagh does not mention.