Abstract
The main purpose of the present chapter is to provide an appropriate frame to prove the closed graph theorem and its relative, the open mapping theorem, in substantial generality. The classical version of the closed graph theorem is the result due to S. Banach which states that every closed linear map between complete metrizable tvs is automatically continuous.
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© 1981 B. G. Teubner, Stuttgart
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Jarchow, H. (1981). Baire Tvs and Webbed Tvs. In: Locally Convex Spaces. Mathematische Leitfäden. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-90559-8_5
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DOI: https://doi.org/10.1007/978-3-322-90559-8_5
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-90561-1
Online ISBN: 978-3-322-90559-8
eBook Packages: Springer Book Archive