ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS
Al. Sayyad, S. (2005). ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS. EKB Journal Management System, 29(1), 21-45. doi: 10.21608/djs.2005.155562
Siham J. Al. Sayyad. "ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS". EKB Journal Management System, 29, 1, 2005, 21-45. doi: 10.21608/djs.2005.155562
Al. Sayyad, S. (2005). 'ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS', EKB Journal Management System, 29(1), pp. 21-45. doi: 10.21608/djs.2005.155562
Al. Sayyad, S. ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS. EKB Journal Management System, 2005; 29(1): 21-45. doi: 10.21608/djs.2005.155562

ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS

Delta Journal of Science
Article 3, Volume 29, Issue 1, June 2005, Page 21-45  XML PDF (2.14 MB)
Document Type: Research and Reference
DOI: 10.21608/djs.2005.155562
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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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