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Continuous Convergence and Related Topologies

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Locally Convex Spaces

Part of the book series: Mathematische Leitfäden ((MLF))

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Abstract

The topology of a Hausdorff lcs E is determined by knowing what the corresponding dual pairing 〈E,E’〉 and what the equicontinuous sets in E’ are. Closed equicontinuous sets are σ(E’, E)-compact, and many important results on is can be obtained by studying the collection of compact spaces obtained in this way. This will be the topic of the present chapter.

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© 1981 B. G. Teubner, Stuttgart

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Jarchow, H. (1981). Continuous Convergence and Related Topologies. In: Locally Convex Spaces. Mathematische Leitfäden. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-90559-8_9

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  • DOI: https://doi.org/10.1007/978-3-322-90559-8_9

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-90561-1

  • Online ISBN: 978-3-322-90559-8

  • eBook Packages: Springer Book Archive

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