Characteristics of infinite dimensional vector spaces
| dc.contributor.advisor | Langford, Eric S. | |
| dc.contributor.author | Wells, Harry Eugene | |
| dc.contributor.department | Mathematics | |
| dc.date.accessioned | 2012-08-29T23:29:29Z | |
| dc.date.available | 2012-08-29T23:29:29Z | |
| dc.date.issued | 1967-09 | |
| dc.description.abstract | The study of finite dimensional vector spaces has been logically extended to that of infinite dimensional vector spaces. Of fundamental importance to this study is the relationship between sets which span a vector space, basis sets for such a space, and linearly independent sets within the space. Without recourse to the finite dimensional case, a new proof is presented to show this relationship. A corollary to this is the most important result that every basis for a vector space has the same cardinal number. | en_US |
| dc.description.service | Major, United States Marine Corps | en_US |
| dc.description.uri | http://archive.org/details/characteristicso1094511773 | |
| dc.identifier.uri | https://hdl.handle.net/10945/11773 | |
| dc.language.iso | en_US | |
| dc.publisher | Monterey, California. U.S. Naval Postgraduate School | en_US |
| dc.rights | This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
| dc.title | Characteristics of infinite dimensional vector spaces | en_US |
| dc.type | Thesis | en_US |
| dspace.entity.type | Publication | |
| etd.thesisdegree.discipline | Mathematics | en_US |
| etd.thesisdegree.grantor | Naval Postgraduate School | en_US |
| etd.thesisdegree.level | Masters | en_US |
| etd.thesisdegree.name | M.S. in Mathematics | en_US |
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