Some remarks on spreading models and mixed Tsirelson spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Some remarks on spreading models and mixed Tsirelson spaces

Authors:	A Manoussakis

Institution:	Department of Sciences, Technical University of Crete, 73100 Chania, Greece

Abstract:	We prove that if a Banach space with a bimonotone shrinking basis does not contain $\ell_{1}^{\omega}$ spreading models but every block sequence of the basis contains a further block sequence which is a $c-\ell_{1}^{n}$ spreading model for every $n\in\mathbb{N}$ , then every subspace has a further subspace which is arbitrarily distortable. We also prove that a mixed Tsirelson space $T(\mathcal{S}_{n},\theta_{n})_{n}]$ , such that $\theta_{n}\searrow 0$ , does not contain $\ell_{1}^{\omega2}$ spreading models.

Keywords:	Schreier families spreading model

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文