Construction of a Banach algebra in summable infinite matrices and its realization of the Gelfand transformation

Authors

  • Janny Lindiarni Bandung Institute of Technology
  • Wono Setya Budhi Bandung Institute of Technology

DOI:

https://doi.org/10.62918/hjma.v1i2.11

Abstract

In this paper, we extend the construction of a Banach Algebra from summable sequences to summable matrices. We also find the representation of the Banach algebra as complex-valued continuous functions defined on a Hausdorff space.

References

H. Alexander, J. Wermer, Several Complex Variables and Banach Algebra, Graduate Texts in Mathematics 35, 3rd edition, 1998.

G. J. Murphy, C* Algebra and Operator Theory, Academic Press, London 1990.

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Published

05-06-2023

How to Cite

Lindiarni, J. ., & Setya Budhi, W. (2023). Construction of a Banach algebra in summable infinite matrices and its realization of the Gelfand transformation. Hilbert Journal of Mathematical Analysis, 1(2), 77–80. https://doi.org/10.62918/hjma.v1i2.11

Issue

Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.

Section

Articles

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Hilbert Journal of Mathematical Analysis is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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