The basic aim of this thesis is to extend the definition of an n-dimensional vector measure so as to allow it to assume infinite values. In the 1-dimensional case, when one extends the notion of a non-negative measure to that of a signed measure which may assume negative values, it is necessary to assume that the signed measure takes on at most one of the values (+ oo) or(- oe). In a similar fashion it is shown that in arder to successfully extend the definition of a finite-valued n-dimensional measure, it is necessary to suppose that the extended measure assumes at most one infinite value. [...]
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.116821 |
| Date | January 1965 |
| Creators | Byers, William Paul. |
| Contributors | Evans, A. (Supervisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science. (Department of Mathematics. ) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: NNNNNNNNN, Theses scanned by McGill Library. |
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