Abstract
The purpose of this chapter is to provide a quick introduction to some of the basic aspects of the theory of topological vector spaces. Various versions of the Hahn-Banach theorem will be used later in the book and the exposition therefore centers around a fairly detailed treatment of these fundamental results. Other parts of the theory are only sketched, and we suggest that the reader consult one of the many books on the subject for further information, see e.g. Robertson and Robertson (1964), Rudin (1973) and Schaefer (1971).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer Science+Business Media New York
About this chapter
Cite this chapter
Berg, C., Christensen, J.P.R., Ressel, P. (1984). Introduction to Locally Convex Topological Vector Spaces and Dual Pairs. In: Harmonic Analysis on Semigroups. Graduate Texts in Mathematics, vol 100. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1128-0_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1128-0_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7017-1
Online ISBN: 978-1-4612-1128-0
eBook Packages: Springer Book Archive