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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 5 | Year 2026 | Article Id. IJMTT-V72I5P110 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I5P110

Norm of the Sum of Two Basic Elementary Operators in the Tensor Product of C∗-Algebras


Benjamin Kimeu Daniel, Zachary Kaunda Kayiita, Kinyanjui Jeremiah Ndungu
Received Revised Accepted Published
01 Apr 2026 02 May 2026 18 May 2026 30 May 2026
Citation :

Benjamin Kimeu Daniel, Zachary Kaunda Kayiita, Kinyanjui Jeremiah Ndungu, "Norm of the Sum of Two Basic Elementary Operators in the Tensor Product of C∗-Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 5, pp. 106-112, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I5P110

Abstract

In this paper, the Norm of the Sum of two basic elementary operators is determined in the tensor product of a C*-algebra. Using the Cauchy-Schwarz inequality and finite rank operators, the Norm of the Sum of two basic elementary operators is

in the tensor product of C*algebras.

Keywords
Basic elementary operator, finite rank operator, C*-algebra, and Tensor Product of C*-algebra.
References

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