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Introducing Statistical Operators: Boundedness, Continuity, and Compactness

Autor: Bayram, Erdal, Küçükaslan, Mehmet, Et, Mikail, Aydın, Abdullah

Many studies have been conducted on statistical convergence, and it remains an area of active research. Since its introduction, statistical convergence has found applications many fields. Nevertheless, there is a shortage of research related to opera

Externí odkaz: http://arxiv.org/abs/2406.08560

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Statistically multiplicative convergence on locally solid Riesz algebras

Autor: Aydın, Abdullah, Et, Mikail

In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to the algebra multiplication and the solid topology. We study on this concept and we give the notion of $\mathbb{st_m}$-bo

Externí odkaz: http://arxiv.org/abs/2004.11454

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Generalized Geometric Difference Sequence Spaces and its duals

Autor: Boruah, Khirod, Hazarika, Bipan, Et, Mikail

Objective of this paper is to introduce the generalized geometric difference sequence spaces $l_\infty^{G}(\Delta^m_G), c^G(\Delta^m_G), c_0^{G}(\Delta^m_G)$ and to prove that these are Banach spaces. Then we prove some inclusion properties. Also we

Externí odkaz: http://arxiv.org/abs/1603.09497

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