Recently four mathematicians claimed to have proven the invariant subspace problem, which is the problem that states

Does every bounded operator on a separable Hilbert space have a non-trivial invariant subspace?

They claimed to have proven the existence of a non-zero weak limit that is orthogonal to the entire space and that gave rise to a contradiction.

For those interested this is the link to the paper:

Roshdi Khalil, Yousef Abdelrahman, Alshanti Waseem Ghazi, and Abu Hammad Ma’mon, "The Invariant Subspace Problem for Separable Hilbert Spaces" Axioms 13, no. 9: 598 (2024) DOI:10.3390/axioms13090598.

So my question is, since the paper was published in a journal does that mean the problem is closed?