"A topological ring can be defined as a Hausdorff space which is a ring whose operations are continuous in both variables simultaneously. The purpose of this paper is to present a development of a branch of topological rings, normed rings. Chapter I presents the algebraic concepts and Chapter II, the topological concepts which are basic to the understanding of the remaining chapters. Chapter III is devoted to theory of Banach spaces and linear transformations. Chapter IV gives a treatment of normed rings, particularly the rings of continuous functions of a compact topological space. The latter part of this chapter presents a characterization of these rings"--Introduction. / Typescript. / "August, 1955." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Arts." / Advisor: M. J. Walsh, Professor Directing Paper. / Includes bibliographical references (leaf 51).
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_257078 |
| Contributors | Flanagan, Anne Joy (authoraut), Walsh, Michael J. (professor directing thesis.), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (iii, 51 leaves), computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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