N. Laustsen

activity

20242026

collaborators

5 papers

math.FA2026

Maximal right ideals of the Banach algebra of bounded operators on a Banach space

Tomasz Kania, Niels Jakob Laustsen

We study finitely generated maximal right ideals of the Banach algebra $B (E)$ of bounded operators on a complex Banach space $E$ . Every maximal right ideal is either fixe…

math.FA2025

Compactness of compositions of strictly singular operators on direct sums of Baernstein, Schreier and $ℓ_{p}$ -spaces

Niels Jakob Laustsen, Henrik Wirzenius

Let $X$ be the direct sum of finitely many Banach spaces chosen from the following three families: (i) the Baernstein spaces $B_{p}$ for $1 < p < \infty$ ; (ii) the $p$ -convexified Schrei…

math.FA2025

Strictly singular operators on the Baernstein and Schreier spaces

Niels Jakob Laustsen, JamesSmith

Every composition of two strictly singular operators is compact on the Baernstein space $B_{p}$ for $1 < p < \infty$ and on the $p$ -convexified Schreier space $S_{p}$ for $1 \leq p <…

math.FA2025

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 $X = ℓ_{p} (I^)$ and $X = c_{0} (I^)$ , where $I^$ is a set and $1 < p < \infty$ , is the kernel of a bounded operator $X \to X$ . On the othe…

math.FA2024

Closed ideals of operators on the Baernstein and Schreier spaces

Niels Jakob Laustsen, James Smith

We study the lattice of closed ideals of bounded operators on two families of Banach spaces: the Baernstein spaces $B_{p}$ for $1 < p < \infty$ and the Schreier spaces $S_{p}$ for $1\le p<…

Maximal right ideals of the Banach algebra of bounded operators on a Banach space

Compactness of compositions of strictly singular operators on direct sums of Baernstein, Schreier and ℓp​-spaces

Strictly singular operators on the Baernstein and Schreier spaces

Kernels of Bounded Operators on the Classical Transfinite Banach Sequence Spaces

Closed ideals of operators on the Baernstein and Schreier spaces

Compactness of compositions of strictly singular operators on direct sums of Baernstein, Schreier and $ℓ_{p}$ -spaces