On some generalized difference paranormed sequence spaces associated with multiplier sequence defined by modulus function

In this article we introduce the paranormed sequence spaces ( f , Λ, Δ m , p ), c 0 ( f , Λ, Δ m , p ) and ℓ ∞ ( f , Λ, Δ m , p ), associated with the multiplier sequence Λ = ( λ k ), defined by a modulus function f . We study their different properties like solidness, symmetricity, completeness etc...

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Bibliographic Details
Published in:Analysis in theory & applications 2011, Vol.27 (1), p.21-27
Main Authors: Tripathy, Binod Chandra, Chandra, Prabhat
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Mathematics
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Summary:In this article we introduce the paranormed sequence spaces ( f , Λ, Δ m , p ), c 0 ( f , Λ, Δ m , p ) and ℓ ∞ ( f , Λ, Δ m , p ), associated with the multiplier sequence Λ = ( λ k ), defined by a modulus function f . We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-011-0021-y