Abstract
The existence of inductive linear topologies and the explicit description of one of its 0-bases in terms of 0-bases of the given spaces form the main topics of the first section of this chapter. As particular cases, we consider quotient spaces, direct sums, and inductive limits of topological vector spaces. We conclude with an examination of strict inductive limits and derive their most important properties.
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© 1981 B. G. Teubner, Stuttgart
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Jarchow, H. (1981). Inductive Linear Topologies. In: Locally Convex Spaces. Mathematische Leitfäden. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-90559-8_4
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DOI: https://doi.org/10.1007/978-3-322-90559-8_4
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-90561-1
Online ISBN: 978-3-322-90559-8
eBook Packages: Springer Book Archive