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学术报告:Banach spaces with spreading bases
编辑:发布时间:2016年05月23日

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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