ROUGH IDEAL CONVERGENT SEQUENCE SPACES OF BOUNDED LINEAR OPERATORS

Authors

  • Shivani Sharma Department of Mathematics, Lovely Professional University, Phagwara - 144411, Punjab, INDIA
  • Sanjay Mishra Department of Mathematics, Lovely Professional University, Phagwara - 144411, Punjab, INDIA

DOI:

https://doi.org/10.56827/SEAJMMS.2023.1902.22

Keywords:

Ideal, Filter, Rough Ideal Convergence, Bounded Linear Operator.

Abstract

In this paper, using the concept of rough ideal convergence in normed
linear spaces, we introduce rough ideal convergence for bounded linear operators.
We also introduce some rough ideal convergent sequence spaces of bounded linear
operators and further investigate and study some inclusion relations of these spaces,
decomposition theorem and algebraic properties.

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Published

2023-08-30

Issue

Vol. 19 No. 02 (2023): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles