Analysis in Theory and Applications

, Volume 27, Issue 1, pp 21–27

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


DOI: 10.1007/s10496-011-0021-y

Cite this article as:
Tripathy, B.C. & Chandra, P. Anal. Theory Appl. (2011) 27: 21. doi:10.1007/s10496-011-0021-y


In this article we introduce the paranormed sequence spaces (f, Λ, Δm, p), c0(f, Λ, Δm, p) and (f, Λ, Δm, p), associated with the multiplier sequence Λ = (λk), defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

Key words

paranorm solid space symmetric space difference sequence modulus function multiplier seuence 

AMS (2010) subject classification

40A05 46A45 

Copyright information

© Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Mathematical Sciences DivisionInstitute of Advanced Study in Science and Technology Paschim BaragaonGarchukIndia
  2. 2.Department of MathematicsPatna UniversityPatnaIndia

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