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arXiv · 2210.15744

Duals of Tirilman spaces have unique subsymmetric basic sequences

Stephen. J. Dilworth·Denka Kutzarova·Bünyamin Sarı·Svetozar Stankov
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Abstract

The Tirilman spaces $Ti(p,\gamma)$, $1<p<\infty$, 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 $Ti^*(p,\gamma)$ are equivalent to its canonical subsymmetic but not symmetric basis.

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Stephen. J. Dilworth, Denka Kutzarova, Bünyamin Sarı, Svetozar Stankov. 2022-10-27. Duals of Tirilman spaces have unique subsymmetric basic sequences. https://doi.org/10.1112/blms.12920

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