A Homeomorphic Image of the Space of Quasi- Continuous Functions by

Authors

  • Bhagath kumar Soma Soma Assistant Professor, Department of Basic Sciences, Gokaraju Rangaraju Institute of Engineering and Technology, Bachupally,Kukatpally,Hyderabad-500090,Telangana State, India
  • V. Srinivasa kumar Assistant Professor, Department of Mathematics, JNTUH College of Engineering, JNTU, Kukatpally, Hyderabad-500085, Telangana State, India
  • KusumaTummala Assistant Professor, Department of Mathematics, VNR Vignana Jyothi Inistitute of Engineering and Technology, Hyderabad,500090, Telangana State, India

Keywords:

Quasi-continuity, Continuity, Sequential quasi –continuity, Banach space, Linear map, Isometrical isomorphism.

Abstract

In this present work, the concept of Quasi- continuity is defined on a closed and bounded interval .   It is established that the set of all such Quasi- continuous functions forms a commutative Banach algebra under the supremum norm.  Properties of some maps on the space of Quasi-continuous functions are established.  An isometrical isomorphic image of the space of Quasi-continuous functions is investigated.  The notion of sequential quasi- continuity is introduced.

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Published

2024-05-24

How to Cite

Bhagath kumar Soma, V. Srinivasa kumar, & KusumaTummala. (2024). A Homeomorphic Image of the Space of Quasi- Continuous Functions by. Journal of Computational Analysis and Applications (JoCAAA), 33(06), 516–521. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/828

Issue

Vol. 33 No. 06 (2024): JOCAAA

Section

Articles

License

Creative Commons License

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

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