Generalized Geometric Difference Sequence Spaces and its duals
Khirod Boruah, Bipan Hazarika, Mikail Et

TL;DR
This paper introduces generalized geometric difference sequence spaces, proves they are Banach spaces, explores their inclusion properties, and computes their dual spaces, expanding the theoretical framework of sequence space analysis.
Contribution
It defines new generalized geometric difference sequence spaces and establishes their Banach space structure, inclusion relations, and dual spaces, which are novel contributions.
Findings
The spaces are Banach spaces.
Inclusion properties are established.
Dual spaces are explicitly computed.
Abstract
Objective of this paper is to introduce the generalized geometric difference sequence spaces and to prove that these are Banach spaces. Then we prove some inclusion properties. Also we compute their dual spaces.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Fixed Point Theorems Analysis · Advanced Harmonic Analysis Research
