Algebra of Functions Having Limit : A Limit Algebra

Authors

  • M. K. Kansagara Department of Mathematics, H. & H. B. Kotak Institute of Science, Rajkot, Gujarat, India Author

DOI:

https://doi.org/10.32628/IJSRST2613143

Abstract

Let X be a compact Hausdorff topological space. Consider the set of all functions from X to K(R or C) which has limit at each point of X. Then functions of this set are bounded under supremum norm and also forms a Banach algebra.

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References

D.J. Karia, M.L. Patel, N.Y. Patel and B.P. Patel, A Textbook of Calculus with an Intro-duction to Differential Equations, Roopal’s Mathematics Series 1, Roopal Prakashan, Vallabh Vidyanagar, 2003.

E. Kaniuth, A course in Commutative Banach Algebras, Springer, New York, 2009. 3. G.F. Simmons, Introduction to Topology and Morden Analysis. McGraw-Hill Book Company Inc., New York, 1963.

J.R. Munkres, Topology second Edition, Pearson Education (Singapore) Pvt. Ltd.,2001. 5. R. Larson, Banach algebras an introduction, Marcel Dekker Inc., New York, 1973.

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Published

18-02-2026

Issue

Vol. 13 No. 1 (2026): January-February

Section

Research Articles

License

Copyright (c) 2026 International Journal of Scientific Research in Science and Technology

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

https://creativecommons.org/licenses/by/4.0

How to Cite

[1]
M. K. Kansagara, Tran., “Algebra of Functions Having Limit : A Limit Algebra”, Int J Sci Res Sci & Technol, vol. 13, no. 1, pp. 301–307, Feb. 2026, doi: 10.32628/IJSRST2613143.