activity
19972026
most citedUniqueness of the maximal ideal of the Banach algebra of bounded operators on

18 citations · 57 across the 25 of their papers we have counts for

collaborators

30 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 of bounded operators on a complex Banach space . Every maximal right ideal is either fixe…

math.FA2025

Strictly singular operators on the Baernstein and Schreier spaces

Niels Jakob Laustsen, James Smith, JamesSmith

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

math.FA2025

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

Niels Jakob Laustsen, Henrik Wirzenius

Let be the direct sum of finitely many Banach spaces chosen from the following three families: (i) the Baernstein spaces for ; (ii) the -convexified Schrei…

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 and , where is a set and , is the kernel of a bounded operator . On the other h…

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 for and the Schreier spaces for $1\le p<…

math.FA2024

Banach lattices of positively homogeneous functions induced by a Banach space

Niels Jakob Laustsen, Pedro Tradacete

Motivated by the construction of the free Banach lattice generated by a Banach space, we introduce and study several vector and Banach lattices of positively homogeneous functions…