Inverse-closedness of the subalgebra of locally nuclear operators

E. Yu. Guseva, V. G. Kurbatov

Let $X$ be a Banach space and $T$ be a bounded linear operator acting in $l_p({\mathbb{Z}}^c,X)$, $1\le p\le \infty$. The operator $T$ is called \emph{locally nuclear} if it can be rep…