Volume 27, Issue 1
On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function

Anal. Theory Appl., 27 (2011), pp. 21-27.

Published online: 2011-01

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• Abstract

In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, definedby a modulus function $f$. We study their different properties like solidness, symmetricity,completeness etc. and prove some inclusion results.

• Keywords

paranorm solid space symmetric space difference sequence modulus function multiplier seuence

40A05 46A45

@Article{ATA-27-21, author = {Binod Chandra Tripathy and Prabhat Chandra}, title = {On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {1}, pages = {21--27}, abstract = {In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, definedby a modulus function $f$. We study their different properties like solidness, symmetricity,completeness etc. and prove some inclusion results.}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0021-y}, url = {http://global-sci.org/intro/article_detail/ata/4575.html} }