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 ...

He answered the problem in the negative, by constructing an operator on a Banach space without a non-trivial invariant subspace. What’s new about this new proposed solution?