Generalized DF spaces

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dc.contributor.advisorWebb, John Hen_ZA
dc.contributor.authorRobertson, Neill Raymond Charlesen_ZA
dc.date.accessioned2016-09-25T16:18:50Z
dc.date.available2016-09-25T16:18:50Z
dc.date.issued1984en_ZA
dc.descriptionBibliography: pages 102-106.en_ZA
dc.description.abstractA 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.identifier.apacitationRobertson, 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/11427/21873en_ZA
dc.identifier.chicagocitationRobertson, 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/11427/21873en_ZA
dc.identifier.citationRobertson, N. 1984. Generalized DF spaces. University of Cape Town.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
dc.identifier.urihttp://hdl.handle.net/11427/21873
dc.identifier.vancouvercitationRobertson 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/11427/21873en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematicsen_ZA
dc.titleGeneralized DF spacesen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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