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On the Existence of Non-Zero Linear Continuous Functionals on Fréchet Spaces

<p> This thesis is concerned with a necessary and sufficient condition for the existence of non-zero linear continuous functionals on Fréchet or more general topological vector spaces. The main idea is based on the famous Hahn-Banach theorem. Since the connection between Hahn-Banach theorem and separation theorems is well known, here we study some separation theorems as well.</p> / Thesis / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/21533
Date04 1900
CreatorsNg, Shu-Bun
ContributorsHusain, T., Mathematics
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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