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 ...

Published: June 11, 2023 4:53pm EDT Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”.

This paper concerns an additive invariant on any invariant subspaces of the vector-valued Hardy space over the ball, which is an analogous version of the Arveson's curvature invariant on the symmetric ...