= Invariant subspace problem
{wiki=Invariant_subspace_problem}
The Invariant Subspace Problem is a significant open question in functional analysis, a branch of mathematics. It concerns the existence of invariant subspaces for bounded linear operators on a Hilbert space. Specifically, the problem asks whether every bounded linear operator on an infinite-dimensional separable Hilbert space has a non-trivial closed invariant subspace. An invariant subspace for an operator \\( T \\) is a subspace \\( M \\) such that \\( T(M) \\subseteq M \\).
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