2012Thai Journal of MathematicsOpen access

Generalized Difference Sequence Spaces Defined by Orlicz Functions and their Kothe-Toeplitz and Null Duals

Hemen Dutta

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Abstract

In this article we define some difference sequence spaces and its subspaces using an Orlicz function. We find their isometrically isomorphic spaces and study some other properties. Moreover we compute Kothe-Toeplitz and null duals of all these spaces.

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What this paper is about

In this article we define some difference sequence spaces and its subspaces using an Orlicz function. We find their isometrically isomorphic spaces and study some other properties. Moreover we compute Kothe-Toeplitz and null duals of all these spaces.

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Available abstract

In this article we define some difference sequence spaces and its subspaces using an Orlicz function. We find their isometrically isomorphic spaces and study some other properties. Moreover we compute Kothe-Toeplitz and null duals of all these spaces.

Key concepts: Mathematics, Dual polyhedron, Sequence (biology), Null (SQL), Pure mathematics, Toeplitz matrix, Linear subspace, Database

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