Subspace codes are a class of error-correcting codes defined over the set of subspaces of a finite vector space. They have emerged as a powerful tool in network coding, where information is ...

Let T be an operator with spectrum σ(T) on a Hilbert space. A compact subset E of σ(T) is called a disconnected part of σ(T) if, for some bounded open set A, E is the closure of σ(T) ∩ A and σ(T) - E ...

Nathan Brownlowe does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

In 50 years of searching, mathematicians found only one example of a “subspace design” that fit their criteria. A new proof reveals that there are infinitely more out there. In the fall of 2017, ...