Obstacles to bounded recovery.
Summary: Let \(X\) be a Banach space, \(V\subset X\) is its subspace and \(U\subset X^\ast\). Given \(x\in X\), we are looking for \(v\in V\) such that \(u(v)=u(x)\) for all \(u\in U\) and \(\| v\|\leq M\| x\|\). In this article, we study the restrictions placed on the constant \(M\) as a function of \(X\),\(V\), and \(U\).
scientific article; zbMATH DE number 1750235
scientific article