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## Closed graph theorems for locally convex topological vector spaces

A Dissertation Submitted of the Faculty

of Science, University of the Witwatersrand,

Johannesburg in Partial Fulfilment

of the Requirements for the Degree of

Master of Science / Let 4 be the class of pairs of loc ..My onvex spaces (X,V) “h ‘ch

are such that every closed graph linear ,pp, 1 from X into V is

continuous. It B is any class of locally . ivex l.ausdortf spaces.

let & w . (X . (X.Y) e 4 for ,11 Y E B). " ‘his expository

dissertation, * (B) is investigated, firstly i r arbitrary B .

secondly when B is the class of C,-complete paces and thirdly

whon B is a class of locally convex webbed s- .ces

Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/18010 |

Date | 24 June 2015 |

Creators | Helmstedt, Janet Margaret |

Source Sets | South African National ETD Portal |

Language | English |

Detected Language | English |

Type | Thesis |

Format | application/pdf |

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