报告人:郑本拓教授
孟菲斯大学数学系
报告题目:Banach spaces with spreading bases
报告时间:2016年05月26日下午15:00
报告地点:海韵行政楼B313
学院联系人:张文副教授
报告摘要:In this talk, we will present the structure of Banach spaces with a
conditional spreading basis. The geometry of such spaces exhibit a striking resemblance to
the geometry of James' space. Further, we show that the averaging projections onto sub-
spaces spanned by constant coecient blocks with no gaps between supports are bounded.
As a consequence, every Banach space with a spreading basis contains a complemented
subspace with an unconditional basis. This gives an armative answer to a question of H.
Rosenthal.
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