The Kalman variety of a linear subspace in a vector space consists of all endomorphisms that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants ...

We say that a linear subspace A of C0(X) is strongly separating if given any pair of distinct points $x_{1},x_{2}$ of the locally compact space X, then there exists f ...

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. The paper is just 13 pages long and its ...