臺灣博碩士論文加值系統

本文的主要目地在於使用嚴格拓樸和張量積拓樸去證明：當 L 無限張量
積 X 被賦予不同的拓樸結構 貝它 、貝他_{P} 、和 貝他_{i}時 ，則所
有從 L 無限張量積 X 到 Y 的線性算子所成空間和不同的 L(X,Y)-值測
度所成的空間是同構的 。同時也描述出它們的等度連續集合 。

In this paper, we will make use of strict topology and tensor
product topologies to show that the space of all continuous
linear maps from L infinity tensor product X to Y, where L
infinity tensor product X equipped with the topologies Beta,
Beta_{P}, and Beta_{i}, can be identified with various spaces
of L(X,Y)-valued measures and at the same time characterize
their equicontinuous sets.