ROUGH IDEAL CONVERGENT SEQUENCE SPACES OF BOUNDED LINEAR OPERATORS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 72

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.22
Author :
Shivani Sharma (Department of Mathematics, Lovely Professional University, Phagwara - 144411, Punjab, INDIA)
Sanjay Mishra (Department of Mathematics, Lovely Professional University, Phagwara - 144411, Punjab, INDIA)

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.

Keywords and Phrases

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

A.M.S. subject classification

40A05, 40A35, 40G15.

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