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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…