Laustsen, Niels and Smith, James (2026) Strictly singular operators on the Baernstein and Schreier spaces. The Quarterly Journal of Mathematics. ISSN 0033-5606 (In Press)
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Abstract
Every composition of two strictly singular operators is compact on the Baernstein space Bp for 1 < p < ∞ and on the p-convexified Schreier space Sp for 1 ≤ p < ∞. Furthermore, every subsymmetric basic sequence in Bp (respectively, Sp) is equivalent to the unit vector basis for lp (respectively, c0), and the Banach spaces Bp and Sp contain block basic sequences whose closed span is not complemented.
Item Type:
Journal Article
Journal or Publication Title:
The Quarterly Journal of Mathematics
Uncontrolled Keywords:
Research Output Funding/yes_externally_funded
Subjects:
?? banach spacebaernstein spaceschreier spacebounded operatorstrictly singular operatorcompact operatorsubsymmetric basic sequenceuncomplemented block subspaceyes - externally fundednomathematics(all) ??
Departments:
ID Code:
237435
Deposited By:
Deposited On:
15 May 2026 15:55
Refereed?:
Yes
Published?:
In Press
Last Modified:
21 May 2026 02:04