On the approximation of vector-valued functions by volume sampling

Daniel Kressner, Tingting Ni, André Uschmajew

Given a Hilbert space $\mathcal{H}$ and a finite measure space $\hat{I}\text{c◯}$, the approximation of a vector-valued function $f:\hat{I}\text{c◯}\to \mathcal{H}$ by a $k$-dimensional subspace $\mathcal U \s…