【摘 要】
：
Let X be a Banach space.We write Gr(n,X)for the Grassmannian of rank n over X,that is the set of all n-dimensional subspaces of X which is equipped with a c
【机 构】
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TheChineseUniversityofHongKong,HongKong
【出 处】
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算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni
论文部分内容阅读
Let X be a Banach space.We write Gr(n,X)for the Grassmannian of rank n over X,that is the set of all n-dimensional subspaces of X which is equipped with a certain topology.Let Gr(∞,X)=∪∞n=1Gr(n,X).First,we will focus on the study of the topology on Gr(∞,X).In particular,we will investigate the topology given by the Banach-Mazur distance on Gr(∞,X).Second,we will investigate the differential structure of Gr(∞,X).Also,the submanifolds of Gr(∞;X)and the Grassmanninas over the quotient spaces of X are studied.
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