Previous |  Up |  Next

# Article

Full entry | PDF   (0.1 MB)
Keywords:
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

Partner of