Strictly singular operators on the Baernstein and Schreier spaces
Abstract
ABSTRACT Every composition of two strictly singular operators is compact on the Baernstein space $B_p$ for $1 \lt p \lt \infty$ and on the p-convexified Schreier space $S_{p}$ for $1 \leqslant p \lt \infty$. Furthermore, every subsymmetric basic sequence in $B_p$ (respectively, $S_p$) is equivalent to the unit vector basis for $\ell _p$ (respectively, $c_0$), and the Banach spaces $B_p$ and $S_p$ contain block basic sequences whose closed span is not complemented.
Fields of Study & Subjects
Advanced Banach Space Theory
Holomorphic and Operator Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- The Quarterly Journal of Mathematics
- Volume
- 77
- Issue
- 2
- Pages
- 511–527
- Publication date
- 21 April 2026
- Language
- EN