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Department of Mathematics and Applied Mathematics

Function spaces and a problem of banach

Abstract

dc:description.abstract

Function spaces have been a useful tool in probing the convergence of sequences of functions. The theory seems to have been triggered off by the works of Ascoli [36], Arzelà [37] and Hadamard [38]. In this thesis, we consider the space of continuous functions from a topological space X into the reals R, which we denote C(X).

Degree

thesis:*
Grantor dc:publisher.institution
Department of Mathematics and Applied Mathematics
Year dc:date.issued
2000

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Kalaichelvan, Rajendra
Advisors dc:contributor.advisor
  • Ntantu, I
  • Alderton, I W
  • Brümmer, G C L

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/4895
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/4895

Chain of custody

source
Harvested from
University of Cape Town
Base URL
open.uct.ac.za/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Kalaichelvan, Rajendra. Function spaces and a problem of banach. Department of Mathematics and Applied Mathematics, 2000. http://hdl.handle.net/11427/4895