Exploring Topological characteristics of Neutrosophic Banach Spaces

Authors

  • Pandiselvi. M PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India
  • Jeyaraman. M PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India

Keywords:

Neutrosophic normed space, Neutrosophic Banach space, Closed linear operator, First category, Second category

Abstract

The open mapping theorem, the closed graph theorem, and other topological characteristics of neurosophic Banach spaces are examined in this paper. Moreover, in neutrosophic normed spaces, the closedness characteristics of the sum of two linear operators has been studied. 

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Published

2024-09-10

Issue

Vol. 73 (2024): Neutrosophic Sets and Systems {Special Issue: Mediterranean Conference on Three Decades of Neutrosophic and Plithogenic Theories and Applications (MeCoNeT 2024)}, Vol. 73, 2024

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

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 Creative Commons Attribution (CC BY) license.

How to Cite

Pandiselvi. M, & Jeyaraman. M. (2024). Exploring Topological characteristics of Neutrosophic Banach Spaces. Neutrosophic Sets and Systems, 73, 66-73. https://fs.unm.edu/nss8/index.php/111/article/view/5015