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The universal Banach space with a $K$ -suppression unconditional basis

Taras O. Banakh; Joanna Garbulińska-Wegrzyn — 2018

Commentationes Mathematicae Universitatis Carolinae

Using the technique of Fraïssé theory, for every constant $K \geq 1$ , we construct a universal object $𝕌_{K}$ in the class of Banach spaces possessing a normalized $K$ -suppression unconditional Schauder basis.

Corrigendum to the paper “The universal Banach space with a $K$ -suppression unconditional basis”

Taras O. Banakh; Joanna Garbulińska-Wegrzyn — 2020

Commentationes Mathematicae Universitatis Carolinae

We observe that the notion of an almost ${𝔉ℑ}_{K}$ -universal based Banach space, introduced in our earlier paper [1]: Banakh T., Garbulińska-Wegrzyn J., The universal Banach space with a $K$ -suppression unconditional basis, Comment. Math. Univ. Carolin. 59 (2018), no. 2, 195–206, is vacuous for $K = 1$ . Taking into account this discovery, we reformulate Theorem 5.2 from [1] in order to guarantee that the main results of [1] remain valid.

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The universal Banach space with a K -suppression unconditional basis

Corrigendum to the paper “The universal Banach space with a K -suppression unconditional basis”

The universal Banach space with a $K$ -suppression unconditional basis

Corrigendum to the paper “The universal Banach space with a $K$ -suppression unconditional basis”