E. Guseva

collaborators

2 papers

math.FA2020

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 $l_{p} (Z^{c}, X)$ , $1 \leq p \leq \infty$ . The operator $T$ is called \emph{locally nuclear} if it can be rep…

math.FA2018

Inverse-closedness of subalgebras of integral operators with almost periodic kernels

E. Yu. Guseva, V. G. Kurbatov

The integral operator of the form $(N u) (x) = k = 1 \sum \infty e^{i ⟨ ω_{k}, x ⟩} \int_{R^{c}} n_{k} (x - y) u (y) d y$ acting in $L_{p} (R^{c})$ , $1\le p\le\inf…