We introduce generalized double lacunary Zweier convergent sequence spaces over -normed spaces via a sequence of Orlicz functions. We also make an effort to study some topological properties and inclusion relations between these spaces. Furthermore, we study the concept of double lacunary statistical Zweier convergence over -normed spaces.
In this paper we introduce a new sequence space defined by a sequence of Orlicz functions and study some topological properties of this sequence space.
In this paper, we define some classes of double sequences over -normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
The invertible, closed range, compact, Fredholm and isometric composition operators on Musielak-Orlicz spaces of Bochner type are characterized in the paper.
In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces. 2010 Mathematics Subject Classification: 40A05, 46A45, 46E30.
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