A strengthened Orlicz–Pettis theorem via Itô–Nisio
Abstract In this note, we deduce a strengthening of the Orlicz–Pettis theorem from the Itô–Nisio theorem. The argument shows that given any series in a Banach space which is not summable (or more generally unconditionally summable), we can construct a (coarse-grained) subseries with t...
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| Format: | Article |
| Language: | English |
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Springer International Publishing
2023
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| Online Access: | https://hdl.handle.net/1721.1/147006 |