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155562

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

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Last updated: 23 Jan 2023

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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.

DOI

10.21608/djs.2005.155562

Keywords

Weierstrass-Stone Theorem, Modules of continuous functions

Authors

First Name

Siham J.

Last Name

Al. Sayyad

MiddleName

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Affiliation

Department of mathematics, Faculty of Sciences, King Abdel Aziz University, P. O. Box 30305, Jeddah 21477, Saudi Arabia

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Volume

29

Article Issue

1

Related Issue

22907

Issue Date

2005-06-01

Receive Date

2021-03-10

Publish Date

2005-06-01

Page Start

21

Page End

45

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 29_Issue 1_Pages 21-45.pdf

PDF . 2.2MB

Link

https://djs.journals.ekb.eg/article_155562.html

Detail API

https://djs.journals.ekb.eg/service?article_code=155562

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3

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

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Article

Created At

23 Jan 2023