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Keywords:
1-suppression unconditional Schauder basis; rational spaces; isometry
1-suppression unconditional Schauder basis; rational spaces; isometry
Summary:
We observe that the notion of an almost $\mathfrak{FI}_K$-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.
References:
[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. MR 3815685
[2] Banakh T., Garbulińska–Wegrzyn J.: A universal Banach space with a $K$-unconditional basis. Adv. Oper. Theory 4 (2019), no. 3, 574–586. DOI 10.15352/aot.1805-1369 | MR 3919032
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