淡江大學機構典藏:Item 987654321/51868
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/51868


    Title: Banach lattices and extension of measures
    Other Titles: 巴納赫束與測度的擴張
    Authors: 曾培倫;Tseng, Pei-lun
    Contributors: 淡江大學數學學系碩士班
    劉豐哲;Liu, Fon-che
    Keywords: 巴納赫束;抽象Ｌ空間;抽象Ｍ空間;Banach lattice;Abstract L-space;Abstract M-space
    Date: 2010
    Issue Date: 2010-09-23 16:13:40 (UTC+8)
    Abstract: 一個可分配且有最小跟最大元素的束L可以嵌入到C(S)，其中S是一個緊緻豪斯多夫空間。如果L是一個布林代數，則L有表示式可以用來擴張在L上有界變分的valuation變成一個定義在S的鮑萊爾代數上的Radon測度。
    A distributive lattice L with smallest and largest elements can be embedded in C(S) for some compact Hausdorff space S. When L is a boolean algebra, L has a representation can be used to extend the valuations of bounded variation on L to Radon measures on the Borel algebra of S.
    DOI: 10.6846%2fTKU.2010.00654
    Appears in Collections:[Department of Applied Mathematics and Data Science] Thesis

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