用戶8745

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maximal ideal space 是一個結合algebra 和 functional analysis 的concept. 設A為一Banach algebra,M為A的maximal ideal 的集合。 可證M與A的multiplicative linear functionals有一一對應。 由於A的multiplicative linear functionals 是A* 的子集,而A*上有Weak* topology,故M上有一induced topology,使M成為一topological space.這個space就稱作A的maximal ideal space.
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