What about spaces with an infinite number of dimensions? So that’s an invariant subspace. The invariant subspace problem is a little more complicated: it is about spaces with an infinite number of ...

Given a vector space V of homogeneous polynomials of the same degree over an infinite field, consider a generic subspace W of V. The main result of this paper is a lower-bound (in general sharp) for ...

Statistical applications of our results to singular vector and singular subspace inferences are also discussed. The Annals of Statistics publishes research papers of the highest quality reflecting the ...