8 research outputs found
Some generalized double lacunary Zweier convergent sequence spaces
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
Generalized lacunary strong Zweier convergent sequence spaces
In this paper we introduce generalized double Zweier lacunary convergent sequence spaces via sequence of Orlicz functions over n-normed spaces. 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 n-normed spaces.ArticleToyama mathematical journal, vol.38, 2016, Page 9-3
Fibonacci difference sequence spaces for modulus functions
In the present paper we introduce Fibonacci difference sequence spaces l(F, Ƒ, p, u) and l_∞(F, Ƒ, p, u) by using a sequence of modulus functions and a new band matrix F. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. Furthermore, the alpha, beta, gamma duals and matrix transformation of the space l(F, Ƒ, p, u) are determined.</p
Composition Operators on Cesàro Function Spaces
The compact, invertible, Fredholm, and closed range composition operators are characterized. We also make an effort to compute the essential norm of composition operators on the Cesàro function spaces
Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals
The present paper focus on introducing certain classes of Cesàro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the Köthe-Toeplitz duals of these spaces
Multiplication Operators on Cesàro Sequence Spaces
In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces
Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals
The present paper focus on introducing certain classes of Cesàro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the Köthe-Toeplitz duals of these spaces
