Max Arnott

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20202025

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3 papers · 1 filter

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

math.FA2023

Uniqueness of algebra norm on quotients of the algebra of bounded operators on a Banach space

Max Arnott, Niels Jakob Laustsen

We show that for each of the following Banach spaces~ $X$ , the quotient algebra $B (X) / I$ has a unique algebra norm for every closed ideal $I$ of $\math…

math.FA2020

Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces

Max Arnott, Niels Jakob Laustsen

We classify the closed ideals of bounded operators acting on the Banach spaces $(⨁_{n \in N} ℓ_{2}^{n})_{c_{0}} \oplus c_{0} (Γ)$ and $\left(\bigoplus_{n \in…