On Unconditionality and Higher-Order Schreier Unconditionality

Mark Shiliaev

Let $X$ be a Banach space, $(e_n{)}_{n=1}^{\infty }$ be its basis, and $S_{\hat{I}}\pm$ be a Schreier family of order alpha. We introduce Condition A which is a weaker version of the Continuum Hy…