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 ...

We study the following question: suppose that A and ℬ are two algebras of complex n × n matrices such that the ring commutator [A, B] = AB – BA is "small" for each A ∈ A and B ∈ ℬ; does this imply ...