ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS | ||
| Delta Journal of Science | ||
| Article 3, Volume 29, Issue 1, June 2005, Pages 21-45 PDF (2.14 M) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2005.155562 | ||
| Author | ||
| Siham J. Al. Sayyad | ||
| Department of mathematics, Faculty of Sciences, King Abdel Aziz University, P. O. Box 30305, Jeddah 21477, Saudi Arabia | ||
| Abstract | ||
| This paper studies from the viewpoint of vector fibrations and vector spaces of cross-sections, endowed with appropriate topologies, the realm of ideas and results centered around the Weierstrass-Stone Theorem for algebras and modules of continuous functions in the real and self-adjoint complex cases. The proof of the equivalence between the separating and the general cases of such results by means of a quotient construction motivate the use of vector fibrations. | ||
| Keywords | ||
| Weierstrass-Stone Theorem; Modules of continuous functions | ||
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