Kernels of Bounded Operators on the Classical Transfinite Banach Sequence Spaces

Max Arnott, Niels Jakob Laustsen

Every closed subspace of each of the Banach spaces $X={\ell }_p(\hat{I}“)$ and $X=c_0(\hat{I}“)$, where $\hat{I}“$ is a set and $1<p<\infty$, is the kernel of a bounded operator $X\to X$. On the othe…