Abstract
The main objective of this chapter is to present the definition of topological vector spaces and to derive some fundamental properties. We will also introduce dual pairs of vector spaces and the weak topology. We start the chapter by briefly recalling concepts of topology and continuity, thereby also fixing notation.
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Voigt, J. (2020). Initial Topology, Topological Vector Spaces, Weak Topology. In: A Course on Topological Vector Spaces. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-32945-7_1
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DOI: https://doi.org/10.1007/978-3-030-32945-7_1
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