| Title:
|
Corrigendum to the paper ``The universal Banach space with a $K$-suppression unconditional basis'' (English) |
| Author:
|
Banakh, Taras |
| Author:
|
Garbulińska-Wegrzyn, Joanna |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
127-128 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
1-suppression unconditional Schauder basis |
| Keyword:
|
rational spaces |
| Keyword:
|
isometry |
| MSC:
|
46B04 |
| MSC:
|
46M15 |
| MSC:
|
46M40 |
| idZBL:
|
Zbl 07217164 |
| idMR:
|
MR4093435 |
| DOI:
|
10.14712/1213-7243.2020.012 |
| . |
| Date available:
|
2020-04-30T11:24:24Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148081 |
| . |
| Reference:
|
[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 |
| Reference:
|
[2] Banakh T., Garbulińska–Wegrzyn J.: A universal Banach space with a $K$-unconditional basis.Adv. Oper. Theory 4 (2019), no. 3, 574–586. MR 3919032, 10.15352/aot.1805-1369 |
| . |
