Duals of Tirilman spaces have unique subsymmetric basic sequences
Functional Analysis
2024-02-21 v1
Abstract
The Tirilman spaces , , were introduced by Casazza and Shura as variations of the spaces constructed by Tzafriri. We prove that all subsymmetric basic sequences in the dual space are equivalent to its canonical subsymmetic but not symmetric basis.
Cite
@article{arxiv.2210.15744,
title = {Duals of Tirilman spaces have unique subsymmetric basic sequences},
author = {Stephen. J. Dilworth and Denka Kutzarova and Bünyamin Sarı and Svetozar Stankov},
journal= {arXiv preprint arXiv:2210.15744},
year = {2024}
}