Researcher ORCID Identifier
0009-0008-7872-2886
Graduation Year
2026
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Konrad Aguilar
Reader 2
Alfonso Castro
Terms of Use & License Information
Rights Information
© 2026 Tong (Nicole) Wu
Abstract
The goal of this senior thesis is to explore general nonstandard analysis and some possible applications to 𝐶*-algebras in functional analysis. More specifically, we shall define an approximate identity of a 𝐶*-algebra using nonstandard analysis and study nonstandard hulls of internal 𝐶*-algebra in the context of different unitizations. We shall also prove a few results for ideals in 𝐶*-algebra using nonstandard definitions of approximate identities. We shall also briefly discuss the history and developments of nonstandard analysis.
Recommended Citation
Wu, Tong (Nicole), "A Nonstandard Exploration of Approximate Identity and Unitization" (2026). HMC Senior Theses. 292.
https://scholarship.claremont.edu/hmc_theses/292
