Duals of Tirilman spaces have unique subsymmetric basic sequences

Steven J. Dilworth; Denka Kutzarova; Bünyamin Sarı; Svetozar Stankov

doi:10.1112/blms.12920

Duals of Tirilman spaces have unique subsymmetric basic sequences

Steven J. Dilworth, Denka Kutzarova, Bünyamin Sarı, Svetozar Stankov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Tirilman spaces (Formula presented.), (Formula presented.), 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 (Formula presented.) are equivalent to its canonical subsymmetic but not symmetric basis.

Original language	English (US)
Pages (from-to)	150-158
Number of pages	9
Journal	Bulletin of the London Mathematical Society
Volume	56
Issue number	1
DOIs	https://doi.org/10.1112/blms.12920
State	Published - Jan 2024

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General Mathematics

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abstract = "The Tirilman spaces (Formula presented.), (Formula presented.), 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 (Formula presented.) are equivalent to its canonical subsymmetic but not symmetric basis.",

author = "Dilworth, {Steven J.} and Denka Kutzarova and B{\"u}nyamin Sarı and Svetozar Stankov",

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Duals of Tirilman spaces have unique subsymmetric basic sequences

Abstract

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