Publication:
Characteristics of infinite dimensional vector spaces

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Authors
Wells, Harry Eugene
Subjects
Advisors
Langford, Eric S.
Date of Issue
1967-09
Date
Publisher
Monterey, California. U.S. Naval Postgraduate School
Language
en_US
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.
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Thesis
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Department
Mathematics
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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.
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