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Spaces of Measures as Mackey Completions

✍ Scribed by Surjit Singh Khurana; Luis Saul Zurlo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
118 KB
Volume
229
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let X be a completely regular Hausdorff space, let E be a normed space, let C X E C X if E is scalars) be the space of all E-valued continuous functions on X, and let L X be the vector space of discrete measures on X. There is a natural duality between L X and C X . In this paper the completion of the space L X Ο„ L X C X is investigated and considering the elements as measures, many properties are proved. Several results are also extended to C X E

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