Spaces of Continuous Functions

连续函数空间

数学史

原   价:
850
售   价:
680.00
优惠
平台大促 低至8折优惠
出  版 社
出版时间
2016年06月15日
装      帧
精装
ISBN
9789462392007
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页      码
179
语      种
英语
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图书简介
The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
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