Generalized DF spaces

 

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dc.contributor.advisor Webb, John H en_ZA
dc.contributor.author Robertson, Neill Raymond Charles en_ZA
dc.date.accessioned 2016-09-25T16:18:50Z
dc.date.available 2016-09-25T16:18:50Z
dc.date.issued 1984 en_ZA
dc.identifier.citation Robertson, N. 1984. Generalized DF spaces. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/21873
dc.description Bibliography: pages 102-106. en_ZA
dc.description.abstract A DF space is a topological vector space sharing certain essential properties with the strong duals of Frechet spaces. The class of DF spaces includes not only all such duals, but also every· normed space and many other spaces besides. The definition of a DF space is due to Grothendieck, who derived almost all the important results concerning such spaces. The "generalized DF spaces" in the title of this thesis are locally convex topological vector spaces whose topologies are determined by their restrictions to an absorbent sequence of bounded sets. In the case when this sequence is a fundamental sequence of bounded sets, we obtain the gDF spaces. Many. of the properties of DF spaces are shared by all gDF spaces. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics en_ZA
dc.title Generalized DF spaces en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Robertson, N. R. C. (1984). <i>Generalized DF spaces</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/21873 en_ZA
dc.identifier.chicagocitation Robertson, Neill Raymond Charles. <i>"Generalized DF spaces."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1984. http://hdl.handle.net/11427/21873 en_ZA
dc.identifier.vancouvercitation Robertson NRC. Generalized DF spaces. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1984 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/21873 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Robertson, Neill Raymond Charles AB - A DF space is a topological vector space sharing certain essential properties with the strong duals of Frechet spaces. The class of DF spaces includes not only all such duals, but also every· normed space and many other spaces besides. The definition of a DF space is due to Grothendieck, who derived almost all the important results concerning such spaces. The "generalized DF spaces" in the title of this thesis are locally convex topological vector spaces whose topologies are determined by their restrictions to an absorbent sequence of bounded sets. In the case when this sequence is a fundamental sequence of bounded sets, we obtain the gDF spaces. Many. of the properties of DF spaces are shared by all gDF spaces. DA - 1984 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1984 T1 - Generalized DF spaces TI - Generalized DF spaces UR - http://hdl.handle.net/11427/21873 ER - en_ZA


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