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ON SOME GENERALIZED DIFFERENCE PARANORMED SEQUENCE SPACES ASSOCIATED WITH MULTIPLIER SEQUENCE DEFINED BY MODULUS FUNCTION |
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| Authors: | Binod Chandra Tripathy Prabhat Chandra |
| Affiliation: | 1. Institute of Advanced Study in Science and Technology,India 2. Patna University,India |
| Abstract: | In this article we introduce the paranormed sequence spaces(f,Λ,Δm,p), c0(f,Λ,Δ<,m>,p)and l<,∞>(f,Λ,Δ<,m>,p),associated with the multiplier sequence Λ=(λ<,k>),de- fined by a modulus function f.We study their different properties like solidness,sym- metricity,completeness etc.and prove some inclusion results. |
| Keywords: | paranorm solid space symmetric space difference sequence modulus func- tion multiplier seuence |
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