Year: 2025
Type: preprint
Abstract: Let $X$ be a Banach space, $(e_n)_{n=1}^\infty$ be its basis, and $S_α$ be a Schreier family of order alpha. We introduce Condition A which is a weaker version of the Continuum Hypothesis. Granted Condition A, we show that if the basis $(e_n)$ is $S_α$-unconditional for every countable ordinal alpha, then it is unconditional.
Source: arXiv (Cornell University)
Author: Shiliaev, Mark
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416369404
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