Geodesic
Toeplitz matrices and convergence
Fundamenta Mathematicae, Tome 165 (2000) no. 2, pp. 175-189.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate $||χ_\mathbb A,2||$, the minimum cardinality of a subset of $2^ω$ that cannot be made convergent by multiplication with a single matrix taken from $\mathbb A$, for different sets $\mathbb A$ of Toeplitz matrices, and show that for some sets $\mathbb A$ it coincides with the splitting number. We show that there is no Galois-Tukey connection from the chaos relation on the diagonal matrices to the chaos relation on the Toeplitz matrices with the identity on $2^ω$ as first component. With Suslin c.c.c. forcing we show that $||χ_\mathbb M,2||$ $\gb ∙ \gs$ is consistent relative to ZFC.
DOI : 10.4064/fm-165-2-175-189

Heike Mildenberger 1

1 
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Heike Mildenberger. Toeplitz matrices and convergence. Fundamenta Mathematicae, Tome 165 (2000) no. 2, pp. 175-189. doi : 10.4064/fm-165-2-175-189. http://geodesic.mathdoc.fr/articles/10.4064/fm-165-2-175-189/

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